Bozhidar Velichkov

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All published works

Action	Title	Year	Authors
+ PDF Chat	Some remarks on singular capillary cones with free boundary	2025	Alberto Pacati Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	Existence and regularity in the fully nonlinear one-phase free boundary problem	2025	Matteo Carducci Bozhidar Velichkov
+	A one-sided two phase Bernoulli free boundary problem	2025	Lorenzo Ferreri Bozhidar Velichkov
+ PDF Chat	Structure of the free interfaces near triple junction singularities in harmonic maps and optimal partition problems	2024	Roberto Ognibene Bozhidar Velichkov
+	Free boundary cluster with Robin condition on the transmission interface	2024	Serena Guarino Lo Bianco Domenico Angelo La Manna Bozhidar Velichkov
+ PDF Chat	An epiperimetric inequality for odd frequencies in the thin obstacle problem	2024	Matteo Carducci Bozhidar Velichkov
+ PDF Chat	Unique continuation for nonlinear variational problems	2024	Lorenzo Ferreri Luca Spolaor Bozhidar Velichkov
+ PDF Chat	On the boundary branching set of the one-phase problem	2024	Lorenzo Ferreri Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Regularity for one-phase Bernoulli problems with discontinuous weights and applications	2024	Lorenzo Ferreri Bozhidar Velichkov
+ PDF Chat	Classical solutions to the soap film capillarity problem for plane boundaries	2024	Giulia Bevilacqua Salvatore Stuvard Bozhidar Velichkov
+ PDF Chat	Regularity of the Optimal Sets for a Class of Integral Shape Functionals	2024	Giuseppe Buttazzo Francesco Paolo Maiale Dario Mazzoleni Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	On the fine structure of the solutions to nonlinear thin two-membrane problems in 2D	2024	Lorenzo Ferreri Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Boundary regularity of the free interface in spectral optimal partition problems	2024	Roberto Ognibene Bozhidar Velichkov
+	(Quasi-)conformal methods in two-dimensional free boundary problems	2024	Guido De Philippis Luca Spolaor Bozhidar Velichkov
+ PDF Chat	A strong maximum principle for minimizers of the one-phase Bernoulli problem	2024	Nick Edelen Luca Spolaor Bozhidar Velichkov
+	The symmetric (log-)epiperimetric inequality and a decay-growth estimate	2023	Nick Edelen Luca Spolaor Bozhidar Velichkov
+	Epsilon-regularity for the solutions of a free boundary system	2023	Francesco Paolo Maiale Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	Free Boundary Cluster with Robin Condition on the Transmission Interface	2023	Domenico Angelo La Manna Serena Guarino Lo Bianco Bozhidar Velichkov
+	Regularity of the One-phase Free Boundaries	2023	Bozhidar Velichkov
+	The symmetric (log-)epiperimetric inequality and a decay-growth estimate	2023	Nick Edelen Luca Spolaor Bozhidar Velichkov
+	A one-sided two phase Bernoulli free boundary problem	2023	Lorenzo Ferreri Bozhidar Velichkov
+	Regularity for one-phase Bernoulli problems with discontinuous weights and applications	2023	Lorenzo Ferreri Bozhidar Velichkov
+	On the dimension of the singular set in optimization problems with measure constraint	2023	Dario Mazzoleni Giorgio Tortone Bozhidar Velichkov
+	A capillarity one-phase Bernoulli free boundary problem	2023	Lorenzo Ferreri Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	Cut Locus on Compact Manifolds and Uniform Semiconcavity Estimates for a Variational Inequality	2022	François Générau Èdouard Oudet Bozhidar Velichkov
+ PDF Chat	The boundary Harnack principle on optimal domains	2022	Francesco Paolo Maiale Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	Regularity of the Flat Free Boundaries	2022	Bozhidar Velichkov
+ PDF Chat	Introduction and Main Results	2022	Bozhidar Velichkov
+ PDF Chat	Non-degeneracy of the Local Minimizers	2022	Bozhidar Velichkov
+ PDF Chat	Blow-Up Sequences and Blow-Up Limits	2022	Bozhidar Velichkov
+ PDF Chat	Lipschitz Continuity of the Minimizers	2022	Bozhidar Velichkov
+ PDF Chat	Improvement of Flatness	2022	Bozhidar Velichkov
+ PDF Chat	The Weiss Monotonicity Formula and Its Consequences	2022	Bozhidar Velichkov
+ PDF Chat	Dimension of the Singular Set	2022	Bozhidar Velichkov
+ PDF Chat	Measure and Dimension of the Free Boundary	2022	Bozhidar Velichkov
+ PDF Chat	An Epiperimetric Inequality Approach to the Regularity of the One-Phase Free Boundaries	2022	Bozhidar Velichkov
+ PDF Chat	Regularity of the optimal sets for the second Dirichlet eigenvalue	2022	Dario Mazzoleni Baptiste Trey Bozhidar Velichkov
+	A strong maximum principle for minimizers of the one-phase Bernoulli problem	2022	Nick Edelen Luca Spolaor Bozhidar Velichkov
+	Free boundary cluster with Robin condition on the transmission Interface	2022	Serena Guarino Lo Bianco Domenico Angelo La Manna Bozhidar Velichkov
+	Regularity of the optimal sets for a class of integral shape functionals	2022	Giuseppe Buttazzo Francesco Paolo Maiale Dario Mazzoleni Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	Numerical computation of the cut locus <i>via</i> a variational approximation of the distance function	2021	François Générau Èdouard Oudet Bozhidar Velichkov
+ PDF Chat	Shape optimization problems in control form	2021	Giuseppe Buttazzo Francesco Paolo Maiale Bozhidar Velichkov
+ PDF Chat	The boundary Harnack principle on optimal domains	2021	Francesco Paolo Maiale Giorgio Tortone Bozhidar Velichkov
+	Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem	2021	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	Shape optimization problems in control form	2021	Giuseppe Buttazzo Francesco Paolo Maiale Bozhidar Velichkov
+ PDF Chat	Regularity of the free boundary for the two-phase Bernoulli problem	2021	Guido De Philippis Luca Spolaor Bozhidar Velichkov
+	Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries	2021	Guido De Philippis Max Engelstein Luca Spolaor Bozhidar Velichkov
+	(Quasi-)conformal methods in two-dimensional free boundary problems	2021	Guido De Philippis Luca Spolaor Bozhidar Velichkov
+	Epsilon-regularity for the solutions of a free boundary system	2021	Francesco Paolo Maiale Giorgio Tortone Bozhidar Velichkov
+	Shape optimization problems in control form	2021	Giuseppe Buttazzo Francesco Paolo Maiale Bozhidar Velichkov
+	The boundary Harnack principle on optimal domains	2021	Francesco Paolo Maiale Giorgio Tortone Bozhidar Velichkov
+ PDF Chat	A two-phase problem with Robin conditions on the free boundary	2020	Serena Guarino Lo Bianco Domenico Angelo La Manna Bozhidar Velichkov
+	On the logarithmic epiperimetric inequality for the obstacle problem	2020	Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Uniqueness of the blowup at isolated singularities for the Alt–Caffarelli functional	2020	Max Engelstein Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Regularity of the free boundary for the vectorial Bernoulli problem	2020	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+	A two-phase problem with Robin conditions on the free boundary	2020	Serena Guarino Lo Bianco Domenico Angelo La Manna Bozhidar Velichkov
+ PDF Chat	On the asymptotic behavior of the solutions to parabolic variational inequalities	2020	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	On the logarithmic epiperimetric inequality for the obstacle problem	2020	Luca Spolaor Bozhidar Velichkov
+	Regularity of the optimal sets for the second Dirichlet eigenvalue	2020	Dario Mazzoleni Baptiste Trey Bozhidar Velichkov
+	A two-phase problem with Robin conditions on the free boundary	2020	Serena Guarino Lo Bianco Domenico Angelo La Manna Bozhidar Velichkov
+	Numerical computation of the cut locus via a variational approximation of the distance function	2020	François Générau Èdouard Oudet Bozhidar Velichkov
+	Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality	2020	François Générau Èdouard Oudet Bozhidar Velichkov
+ PDF Chat	Free boundary regularity for a multiphase shape optimization problem	2019	Luca Spolaor Baptiste Trey Bozhidar Velichkov
+	Regularity of the free boundary for the two-phase Bernoulli problem	2019	Guido De Philippis Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Existence and regularity of optimal shapes for elliptic operators with drift	2019	Emmanuel Russ Baptiste Trey Bozhidar Velichkov
+	Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem	2019	Maria Colombo Luca Spolaor Bozhidar Velichkov
+ PDF Chat	Direct Epiperimetric Inequalities for the Thin Obstacle Problem and Applications	2019	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	(Log-)epiperimetric inequality and regularity over smooth cones for almost area-minimizing currents	2019	Max Engelstein Luca Spolaor Bozhidar Velichkov
+	Regularity of the free boundary for the two-phase Bernoulli problem	2019	Guido De Philippis Luca Spolaor Bozhidar Velichkov
+	Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem	2019	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	Serrin-type theorems for triangles	2018	Ilaria Fragalà Bozhidar Velichkov
+ PDF Chat	An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case	2018	Luca Spolaor Bozhidar Velichkov
+	Optimal Potentials for Problems with Changing Sign Data	2018	Giuseppe Buttazzo Faustino Maestre Bozhidar Velichkov
+ PDF Chat	A logarithmic epiperimetric inequality for the obstacle problem	2018	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	Optimal potentials for problems with changing sing data	2017	Giuseppe Buttazzo Faustino Maestre Bozhidar Velichkov
+	Direct epiperimetric inequalities for the thin obstacle problem and applications	2017	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini
+	Regularity of minimizers of shape optimization problems involving perimeter	2017	Guido De Philippis Jimmy Lamboley Michel Pierre Bozhidar Velichkov
+	9 Spectral optimization problems for Schrödinger operators	2017	Giuseppe Buttazzo Bozhidar Velichkov
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini
+ PDF Chat	Regularity of the optimal sets for some spectral functionals	2017	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+	A shape optimal control problem and its probabilistic counterpart	2017	Giuseppe Buttazzo Bozhidar Velichkov
+	Direct epiperimetric inequalities for the thin obstacle problem and applications	2017	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	A logarithmic epiperimetric inequality for the obstacle problem	2017	Maria Colombo Luca Spolaor Bozhidar Velichkov
+	Optimal potentials for problems with changing sing data	2017	Giuseppe Buttazzo Faustino Maestre Bozhidar Velichkov
+	On the honeycomb conjecture for a class of minimal convex partitions	2017	Dorin Bucur Ilaria Fragalà Bozhidar Velichkov Gianmaria Verzini
+	An epiperimetric inequality for the regularity of some free boundary problems: the $2$-dimensional case	2016	Luca Spolaor Bozhidar Velichkov
+	Regularity of the optimal sets for some spectral functionals	2016	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+ PDF Chat	Worst-case shape optimization for the Dirichlet energy	2016	José C. Bellido Giuseppe Buttazzo Bozhidar Velichkov
+	Regularity of Minimizers of Shape Optimization Problems involving Perimeter	2016	Guido De Philippis Jimmy Lamboley Michel Pierre Bozhidar Velichkov
+	Worst-case shape optimization for the Dirichlet energy	2016	José C. Bellido Giuseppe Buttazzo Bozhidar Velichkov
+	The spectral drop problem	2016	Giuseppe Buttazzo Bozhidar Velichkov
+ PDF Chat	A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results	2016	Beniamin Bogosel Bozhidar Velichkov
+ PDF Chat	The spectral drop problem	2016	Buttazzo Giuseppe Bozhidar Velichkov
+	Regularity of Minimizers of Shape Optimization Problems involving Perimeter	2016	Guido De Philippis Jimmy Lamboley Pierre Michel Bozhidar Velichkov
+	Worst-case shape optimization for the Dirichlet energy	2016	José C. Bellido Giuseppe Buttazzo Bozhidar Velichkov
+	An epiperimetric inequality for the regularity of some free boundary problems: the $2$-dimensional case	2016	Luca Spolaor Bozhidar Velichkov
+	Regularity of the optimal sets for some spectral functionals	2016	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov
+ PDF Chat	A free boundary problem arising in PDE optimization	2015	Giuseppe Buttazzo Èdouard Oudet Bozhidar Velichkov
+ PDF Chat	BV Estimates in Optimal Transportation and Applications	2015	Guido De Philippis Alpár R. Mészáros Filippo Santambrogio Bozhidar Velichkov
+ PDF Chat	A free boundary approach to shape optimization problems	2015	Dorin Bucur Bozhidar Velichkov
+ PDF Chat	Faber–Krahn inequalities in sharp quantitative form	2015	Lorenzo Brasco Guido De Philippis Bozhidar Velichkov
+	A free boundary problem arising in PDE optimization	2015	Giuseppe Buttazzo Èdouard Oudet Bozhidar Velichkov
+	Spectral optimization problems in ℝ d	2015	Bozhidar Velichkov
+	Shape supersolutions and quasi-minimizers	2015	Bozhidar Velichkov
+	Existence and Regularity Results for Some Shape Optimization Problems	2015	Bozhidar Velichkov
+ PDF Chat	Optimization Problems Involving the First Dirichlet Eigenvalue and the Torsional Rigidity	2015	M. van den Berg Giuseppe Buttazzo Bozhidar Velichkov
+	A free boundary problem arising in PDE optimization	2015	Giuseppe Buttazzo Èdouard Oudet Bozhidar Velichkov
+ PDF Chat	Lipschitz Regularity of the Eigenfunctions on Optimal Domains	2014	Dorin Bucur Dario Mazzoleni Aldo Pratelli Bozhidar Velichkov
+ PDF Chat	Optimal potentials for Schrödinger operators	2014	Giuseppe Buttazzo Augusto Gerolin Berardo Ruffini Bozhidar Velichkov
+ PDF Chat	A note on the monotonicity formula of Caffarelli–Jerison–Kenig	2014	Bozhidar Velichkov
+ PDF Chat	Shape Optimization Problems for Metric Graphs	2014	Giuseppe Buttazzo Berardo Ruffini Bozhidar Velichkov
+	Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity	2014	Giuseppe Buttazzo M. van den Berg Bozhidar Velichkov
+ PDF Chat	Spectral Optimization Problems for Potentials and Measures	2014	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov
+ PDF Chat	Multiphase Shape Optimization Problems	2014	Dorin Bucur Bozhidar Velichkov
+ PDF Chat	Some new problems in spectral optimization	2014	Giuseppe Buttazzo Bozhidar Velichkov
+	The spectral drop problem	2014	Giuseppe Buttazzo Bozhidar Velichkov
+	Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity	2014	Giuseppe Buttazzo M. van den Berg Bozhidar Velichkov
+	Shape optimization problems on metric measure spaces	2013	Giuseppe Buttazzo Bozhidar Velichkov
+	Multiphase shape optimization problems	2013	Dorin Bucur Bozhidar Velichkov
+ PDF Chat	Existence and Regularity of Minimizers for Some Spectral Functionals with Perimeter Constraint	2013	Guido De Philippis Bozhidar Velichkov
+	Spectral optimization problems for potentials and measures	2013	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov
+ PDF Chat	Shape optimization problems for metric graphs	2013	Giuseppe Buttazzo Berardo Ruffini Bozhidar Velichkov
+	Optimal Potentials For Schrodinger Operators	2013	Giuseppe Buttazzo Augusto Gerolin Berardo Ruffini Bozhidar Velichkov
+	Some New Problems in Spectral Optimization	2013	Giuseppe Buttazzo Bozhidar Velichkov
+	Existence and regularity of minimizers for some spectral functionals with perimeter constraint	2013	Guido De Philippis Bozhidar Velichkov
+	Some New Problems in Spectral Optimization	2013	Giuseppe Buttazzo Bozhidar Velichkov
+	Spectral optimization problems for potentials and measures	2013	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov
+	Shape optimization problems on metric measure spaces	2013	Giuseppe Buttazzo Bozhidar Velichkov
+	Optimal Potentials For Schrodinger Operators	2013	Giuseppe Buttazzo Augusto Gerolin Berardo Ruffini Bozhidar Velichkov
+	Multiphase shape optimization problems	2013	Dorin Bucur Bozhidar Velichkov
+	Existence and regularity of minimizers for some spectral functionals with perimeter constraint	2013	Guido De Philippis Bozhidar Velichkov
+ PDF Chat	Spectral optimization problems with internal constraint	2012	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov
+	Shape optimization problems on metric measure spaces	2012	Giuseppe Buttazzo Bozhidar Velichkov
+ PDF Chat	Decay Estimates for the Supercritical 3-D Schrödinger Equation with Rapidly Decreasing Potential	2012	Vladimir Georgiev Bozhidar Velichkov
+	Shape Optimization Problems with Internal Constraint	2011	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov
+	Shape Optimization Problems with Internal Constraint	2011	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov

Common Coauthors

Coauthor	Papers Together
Giuseppe Buttazzo	36
Luca Spolaor	29
Dorin Bucur	14
Guido De Philippis	14
Francesco Paolo Maiale	10
Giorgio Tortone	10
Dario Mazzoleni	10
Maria Colombo	9
Édouard Oudet	7
Lorenzo Ferreri	6
Serena Guarino Lo Bianco	6
Domenico Angelo La Manna	6
Berardo Ruffini	5
Ilaria Fragalà	4
Nick Edelen	4
Susanna Terracini	4
Baptiste Trey	4
François Générau	4
Gianmaria Verzini	3
Faustino Maestre	3
M. van den Berg	3
Jimmy Lamboley	3
Max Engelstein	3
Augusto Gerolin	3
José C. Bellido	3
Giuseppe Buttazzo	2
Matteo Carducci	2
Lorenzo Ferreri	2
Michel Pierre	2
Roberto Ognibene	2
Buttazzo Giuseppe	1
Giulia Bevilacqua	1
Alberto Pacati	1
Beniamin Bogosel	1
Alpár R. Mészáros	1
Filippo Santambrogio	1
Vladimir Georgiev	1
Salvatore Stuvard	1
Emmanuel Russ	1
Lorenzo Brasco	1
Luca Spolaor	1
Pierre Michel	1
Aldo Pratelli	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Existence and regularity for a minimum problem with free boundary.	1981	Hans Wilhelm Alt Luis Caffarelli	39
+ PDF Chat	Minimization of the k-th eigenvalue of the Dirichlet Laplacian	2012	Dorin Bucur	27
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	25
+ PDF Chat	Regularity of the optimal shape for the first eigenvalue of the Laplacian with volume and inclusion constraints	2008	Tanguy Briançon Jimmy Lamboley	25
+ PDF Chat	An Epiperimetric Inequality for the Regularity of Some Free Boundary Problems: The 2‐Dimensional Case	2018	Luca Spolaor Bozhidar Velichkov	24
+ PDF Chat	Spectral optimization problems	2011	Giuseppe Buttazzo	23
+	Partial regularity for a minimum problem with free boundary	1999	Georg S. Weiss	23
+ PDF Chat	Minimization problems for eigenvalues of the Laplacian	2003	Antoine Henrot	19
+	Shape optimization for Dirichlet problems: Relaxed formulation and optimality conditions	1991	Giuseppe Buttazzo Gianni Dal Maso	19
+ PDF Chat	Some remarks on stability of cones for the one-phase free boundary problem	2015	David Jerison Ovidiu Savin	18
+ PDF Chat	Variational problems with two phases and their free boundaries	1984	Hans Wilhelm Alt Luis Caffarelli Avner Friedman	18
+	Measure Theory and Fine Properties of Functions	2018	Lawrence C. Evans Ronald F. Garzepy	15
+	Heat Kernels and Spectral Theory	1989	E. B. Davies	15
+ PDF Chat	Regularity of the optimal sets for some spectral functionals	2017	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov	15
+ PDF Chat	Lipschitz Regularity of the Eigenfunctions on Optimal Domains	2014	Dorin Bucur Dario Mazzoleni Aldo Pratelli Bozhidar Velichkov	14
+	Wiener's criterion and Γ-convergence	1987	Gianni Dal Maso Umberto Mosco	13
+	Existence and Regularity Results for Some Shape Optimization Problems	2015	Bozhidar Velichkov	13
+	An Epiperimetric Inequality Related to the Analyticity of Minimal Surfaces	1964	E. R. Reifenberg	13
+	A homogeneity improvement approach to the obstacle problem	1999	Georg S. Weiss	13
+ PDF Chat	Existence and Regularity of Minimizers for Some Spectral Functionals with Perimeter Constraint	2013	Guido De Philippis Bozhidar Velichkov	12
+	Existence of minimizers for spectral problems	2013	Dario Mazzoleni Aldo Pratelli	12
+ PDF Chat	Free boundary regularity for a problem with right hand side	2011	Daniela De Silva	12
+ PDF Chat	Multiphase Shape Optimization Problems	2014	Dorin Bucur Bozhidar Velichkov	12
+	Uniform Concentration-Compactness for Sobolev Spaces on Variable Domains	2000	Dorin Bucur	12
+	A singular energy minimizing free boundary	2009	Daniela De Silva David Jerison	12
+	Sets of Finite Perimeter and Geometric Variational Problems: An Introduction to Geometric Measure Theory	2012	Francesco Maggi	11
+ PDF Chat	Spectral optimization problems with internal constraint	2012	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov	11
+	A Geometric Approach to Free Boundary Problems	2005	Luis Caffarelli Sandro Salsa	10
+	Global energy minimizers for free boundary problems and full regularity in three dimensions	2004	Luis Caffarelli David Jerison Carlos E. Kenig	10
+ PDF Chat	Spectral Optimization Problems for Potentials and Measures	2014	Dorin Bucur Giuseppe Buttazzo Bozhidar Velichkov	10
+	Regularity in free boundary problems	1977	David Kinderlehrer Louis Nirenberg	10
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	10
+ PDF Chat	Regularity for Shape Optimizers: The Nondegenerate Case	2018	Dennis Kriventsov Fanghua Lin	10
+	An optimal partition problem related to nonlinear eigenvalues	2003	Monica Conti Susanna Terracini Gianmaria Verzini	9
+ PDF Chat	Regularity for Shape Optimizers: The Degenerate Case	2019	Dennis Kriventsov Fanghua Lin	9
+ PDF Chat	Regularity of almost minimizers with free boundary	2014	Guy David Tatiana Toro	9
+ PDF Chat	Regularity of the free boundary for the vectorial Bernoulli problem	2020	Dario Mazzoleni Susanna Terracini Bozhidar Velichkov	9
+	An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients	2015	Nicola Garofalo Arshak Petrosyan Mariana Smit Vega Garcia	9
+	Elliptic equations and rearrangements	1976	Giorgio Talenti	9
+ PDF Chat	An epiperimetric inequality for the thin obstacle problem	2016	Matteo Focardi Emanuele Spadaro	9
+	Open Problems on Eigenvalues of the Laplacian	1999	Mark S. Ashbaugh	9
+ PDF Chat	Shape optimization for Dirichlet problems: Relaxed solutions and optimality conditions	1990	Giuseppe Buttazzo Gianni Dal Maso	9
+ PDF Chat	Regularity of the free boundary for the two-phase Bernoulli problem	2021	Guido De Philippis Luca Spolaor Bozhidar Velichkov	8
+	NEW RESULTS ON THE ASYMPTOTIC BEHAVIOR OF DIRICHLET PROBLEMS IN PERFORATED DOMAINSDIRICHLET PROBLEMS IN PERFORATED DOMAINS	1994	Gianni Dal Maso Adriana Garroni	8
+	Free boundary regularity for almost-minimizers	2019	Guy David Max Engelstein Tatiana Toro	8
+ PDF Chat	Existence and regularity of optimal shapes for elliptic operators with drift	2019	Emmanuel Russ Baptiste Trey Bozhidar Velichkov	8
+	Regularity of the One-phase Free Boundaries	2023	Bozhidar Velichkov	8
+	An Optimal Partition Problem for Eigenvalues	2006	L. A. Cafferelli Fang Lin	8
+ PDF Chat	A logarithmic epiperimetric inequality for the obstacle problem	2018	Maria Colombo Luca Spolaor Bozhidar Velichkov	8
+ PDF Chat	The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1.	1984	Pierre‐Louis Lions	8