Giampiero Palatucci

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All published works

Action	Title	Year	Authors
+ PDF Chat	Struwe’s global compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	2024	Giampiero Palatucci Mirco Piccinini Letizia Temperini
+	Harnack inequalities for kinetic integral equations	2024	Francesca Anceschi Giampiero Palatucci Mirco Piccinini
+	Global Compactness, Subcritical Approximation of the Sobolev Quotient, and a Related Concentration Result in the Heisenberg Group	2024	Giampiero Palatucci Mirco Piccinini Letizia Temperini
+ PDF Chat	Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group	2023	Maria Manfredini Giampiero Palatucci Mirco Piccinini Sergio Polidoro
+	Asymptotic approach to singular solutions for the CR Yamabe equation, and a conjecture by H. Brezis and L. A. Peletier in the Heisenberg group	2023	Giampiero Palatucci Mirco Piccinini
+	Global Compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group	2023	Giampiero Palatucci Mirco Piccinini Letizia Temperini
+	Nonlinear fractional equations in the Heisenberg group	2023	Giampiero Palatucci Mirco Piccinini
+	Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group	2023	Giampiero Palatucci Mirco Piccinini Letizia Temperini
+ PDF Chat	Nonlocal Harnack inequalities in the Heisenberg group	2022	Giampiero Palatucci Mirco Piccinini
+	Hölder continuity and boundedness estimates for nonlinear fractional equations in the Heisenberg group	2022	Maria Manfredini Giampiero Palatucci Mirco Piccinini Sergio Polidoro
+	Nonlocal Harnack inequalities in the Heisenberg group	2022	Giampiero Palatucci Mirco Piccinini
+	Gamma-convergence for one-dimensional nonlocal phase transition energies	2020	Giampiero Palatucci Simone Vincini
+	Developments and perspectives in Nonlinear Potential Theory	2019	Giuseppe Mingione Giampiero Palatucci
+	Hölder regularity for nonlocal double phase equations	2019	Cristiana De Filippis Giampiero Palatucci
+	H\"older regularity for nonlocal double phase equations	2019	Cristiana De Filippis Giampiero Palatucci
+	Hölder regularity for nonlocal double phase equations	2019	Cristiana De Filippis Giampiero Palatucci
+	The Dirichlet problem for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>p</mml:mi></mml:math>-fractional Laplace equation	2018	Giampiero Palatucci
+ PDF Chat	Intrinsic geometry and De Giorgi classes for certain anisotropic problems	2017	Paolo Baroni Agnese Di Castro Giampiero Palatucci
+ PDF Chat	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	A note on fractional supersolutions	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	Hölder continuity up to the boundary for a class of fractional obstacle problems	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+ PDF Chat	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci
+ PDF Chat	Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach	2015	Giampiero Palatucci Adriano Pisante Yannick Sire
+ PDF Chat	Local behavior of fractional p-minimizers	2015	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+ PDF Chat	A Global Compactness type result for Palais–Smale sequences in fractional Sobolev spaces	2015	Giampiero Palatucci Adriano Pisante
+	A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces	2014	Giampiero Palatucci Adriano Pisante
+ PDF Chat	Dislocation Dynamics in Crystals: A Macroscopic Theory in a Fractional Laplace Setting	2014	Serena Dipierro Giampiero Palatucci Enrico Valdinoci
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+	Fractional p-eigenvalues	2014	Giovanni Franzina Giampiero Palatucci
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci
+	A Global Compactness type result for Palais-Smale sequences in fractional Sobolev spaces	2014	Giampiero Palatucci Adriano Pisante
+	Dislocation dynamics in crystals: A macroscopic theory in a fractional Laplace setting	2013	Serena Dipierro Giampiero Palatucci Enrico Valdinoci
+ PDF Chat	Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces	2013	Giampiero Palatucci Adriano Pisante
+	Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach	2013	Giampiero Palatucci Adriano Pisante Yannick Sire
+	Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian	2013	Serena Dipierro Giampiero Palatucci Enrico Valdinoci
+	Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces	2013	Giampiero Palatucci Adriano Pisante
+ PDF Chat	Global estimates for nonlinear parabolic equations	2013	Paolo Baroni Agnese Di Castro Giampiero Palatucci
+	Global regularity results for nonlinear parabolic equations	2013	Paolo Baroni Agnese Di Castro Giampiero Palatucci
+	FRACTIONAL REGULARITY FOR NONLINEAR ELLIPTIC PROBLEMS WITH MEASURE DATA	2013	Agnese Di Castro Giampiero Palatucci
+ PDF Chat	Asymptotics of the $s$-perimeter as $s\searrow 0$	2013	Serena Dipierro Alessio Figalli Giampiero Palatucci Enrico Valdinoci
+	Fractional p-eigenvalues	2013	Giovanni Franzina Giampiero Palatucci
+	Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces	2013	Giampiero Palatucci Adriano Pisante
+	Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach	2013	Giampiero Palatucci Adriano Pisante Yannick Sire
+ PDF Chat	Measure data problems, lower-order terms and interpolation effects	2012	Agnese Di Castro Giampiero Palatucci
+	Nonlinear parabolic problems with lower order terms and related integral estimates	2012	Agnese Di Castro Giampiero Palatucci
+	Asymptotics of the $s$-perimeter as $s\searrow 0$	2012	Serena Dipierro Alessio Figalli Giampiero Palatucci Enrico Valdinoci
+	Asymptotics of the $s$-perimeter as $s\searrow 0$	2012	Serena Dipierro Alessio Figalli Giampiero Palatucci Enrico Valdinoci
+ PDF Chat	Local and global minimizers for a variational energy involving a fractional norm	2012	Giampiero Palatucci Ovidiu Savin Enrico Valdinoci
+	Universite de Nˆimes	2012	Equipe Mipa Giampiero Palatucci Adriano Pisante
+	Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian	2012	Serena Dipierro Giampiero Palatucci Enrico Valdinoci
+	Asymptotics of the $s$-perimeter as $s\searrow 0$	2012	Serena Dipierro Alessio Figalli Giampiero Palatucci Enrico Valdinoci
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci
+	A weighted gradient theory of phase transitions with a possibly singular and degenerate spatial inhomogeneity	2011	Giampiero Palatucci Enrico Valdinoci
+ PDF Chat	Subcritical Approximation of the Sobolev Quotient and a Related Concentration Result	2011	Giampiero Palatucci
+	Hitchhiker's guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci
+	Local and global minimizers for a variational energy involving a fractional norm	2011	Giampiero Palatucci Enrico Valdinoci Ovidiu Savin
+	p-Laplacian problems with critical Sobolev exponent	2011	Giampiero Palatucci
+	Hitchhiker's guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci
+	Local and global minimizers for a variational energy involving a fractional norm	2011	Giampiero Palatucci Enrico Valdinoci Ovidiu Savin
+	PHASE TRANSITIONS WITH THE LINE TENSION EFFECT: THE SUPER-QUADRATIC CASE	2009	Giampiero Palatucci
+	Γ-Convergence of some super quadratic functionals with singular weights	2009	Giampiero Palatucci Yannick Sire
+	$\Gamma$-convergence of some super quadratic functionals with singular weights	2009	Giampiero Palatucci Yannick Sire
+	$Γ$-convergence of some super quadratic functionals with singular weights	2009	Giampiero Palatucci Yannick Sire
+	A Singular Perturbation Result with a Fractional Norm	2006	Adriana Garroni Giampiero Palatucci

Common Coauthors

Coauthor	Papers Together
Enrico Valdinoci	15
Tuomo Kuusi	12
Mirco Piccinini	11
Adriano Pisante	10
Agnese Di Castro	10
Janne Korvenpää	8
Serena Dipierro	8
Yannick Sire	6
Alessio Figalli	4
Letizia Temperini	4
Cristiana De Filippis	3
Paolo Baroni	3
Eleonora Di Nezza	3
Ovidiu Savin	3
Sergio Polidoro	2
Giovanni Franzina	2
Maria Manfredini	2
Francesca Anceschi	1
Adriana Garroni	1
Giuseppe Mingione	1
Simone Vincini	1
Equipe Mipa	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Hitchhikerʼs guide to the fractional Sobolev spaces	2011	Eleonora Di Nezza Giampiero Palatucci Enrico Valdinoci	31
+ PDF Chat	Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces	2013	Giampiero Palatucci Adriano Pisante	22
+ PDF Chat	An Extension Problem Related to the Fractional Laplacian	2007	Luis Caffarelli Luís Silvestre	22
+ PDF Chat	Gradient potential estimates	2010	Giuseppe Mingione	19
+ PDF Chat	The Calderón-Zygmund theory for elliptic problems with measure data	2009	Giuseppe Mingione	18
+ PDF Chat	Local and global minimizers for a variational energy involving a fractional norm	2012	Giampiero Palatucci Ovidiu Savin Enrico Valdinoci	17
+	Density estimates for a variational model driven by the Gagliardo norm	2013	Ovidiu Savin Enrico Valdinoci	16
+ PDF Chat	Nonlocal self-improving properties	2015	Tuomo Kuusi Giuseppe Mingione Yannick Sire	12
+	Nonlocal Harnack inequalities	2014	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci	12
+ PDF Chat	Nonlocal Equations with Measure Data	2015	Tuomo Kuusi Giuseppe Mingione Yannick Sire	11
+ PDF Chat	Regularity of the obstacle problem for a fractional power of the laplace operator	2006	Luís Silvestre	10
+ PDF Chat	Local behavior of fractional p-minimizers	2015	Agnese Di Castro Tuomo Kuusi Giampiero Palatucci	10
+ PDF Chat	A Global Compactness type result for Palais–Smale sequences in fractional Sobolev spaces	2015	Giampiero Palatucci Adriano Pisante	9
+	Higher Sobolev regularity for the fractional p-Laplace equation in the superquadratic case	2016	Lorenzo Brasco Erik Lindgren	9
+ PDF Chat	Nonlinear commutators for the fractional p-Laplacian and applications	2015	Armin Schikorra	9
+	Nonlinear Potential Theory of Degenerate Elliptic Equations	2018	Juha Heinonen Tero Kilpeläinen Олли Мартио	9
+	3-Commutators Estimates and the Regularity of 1/2 Harmonic Maps into Spheres	2009	Francesca Da Lio Tristan Rivière	9
+ PDF Chat	Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent	1991	Zheng-Chao Han	9
+ PDF Chat	Subcritical approximation of a Yamabe type non local equation: a Gamma-convergence approach	2015	Giampiero Palatucci Adriano Pisante Yannick Sire	8
+ PDF Chat	Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci	8
+	Fractional p-eigenvalues	2014	Giovanni Franzina Giampiero Palatucci	8
+	Gradient estimates below the duality exponent	2009	Giuseppe Mingione	8
+ PDF Chat	Density Estimates for a Nonlocal Variational Model via the Sobolev Inequality	2011	Ovidiu Savin Enrico Valdinoci	8
+ PDF Chat	Subcritical Approximation of the Sobolev Quotient and a Related Concentration Result	2011	Giampiero Palatucci	8
+ PDF Chat	Gradient estimates via non-linear potentials	2011	Frank Duzaar Giuseppe Mingione	7
+	A Singular Perturbation Result with a Fractional Norm	2006	Adriana Garroni Giampiero Palatucci	7
+	Sharp regularity for functionals with (p,q) growth	2004	Luca Esposito Francesco Leonetti Giuseppe Mingione	7
+	Positive solutions of nonlinear elliptic equations involving critical sobolev exponents	1983	Haı̈m Brezis Louis Nirenberg	7
+	A global compactness result for elliptic boundary value problems involving limiting nonlinearities	1984	Michaël Struwe	7
+	Non-linear elliptic and parabolic equations involving measure data	1989	Lucio Boccardo Thierry Gallouët	7
+	Direct Methods in the Calculus of Variations	2003	Enrico Giusti	7
+ PDF Chat	Regularity estimates for the solution and the free boundary of the obstacle problem for the fractional Laplacian	2007	Luis Caffarelli Sandro Salsa Luís Silvestre	7
+	Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators	2008	V. G. Mazʹi︠a︡ T. O. Shaposhnikova	7
+ PDF Chat	Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation	2010	Luis Caffarelli Alexis Vasseur	7
+	p-Laplacian problems with critical Sobolev exponent	2011	Giampiero Palatucci	7
+	Equivalence of solutions to fractional p-Laplace type equations	2017	Janne Korvenpää Tuomo Kuusi Erik Lindgren	6
+	Uniform estimates and limiting arguments for nonlocal minimal surfaces	2010	Luis Caffarelli Enrico Valdinoci	6
+	Fractional Laplacian phase transitions and boundary reactions: A geometric inequality and a symmetry result	2009	Yannick Sire Enrico Valdinoci	6
+ PDF Chat	Global Hölder regularity for the fractional $p$-Laplacian	2016	Antonio Iannizzotto Sunra Mosconi Marco Squassina	6
+ PDF Chat	Weighted norm inequalities for the Hardy maximal function	1972	Benjamin Muckenhoupt	6
+	Universal potential estimates	2012	Tuomo Kuusi Giuseppe Mingione	6
+	Gradient estimates for the<i>p</i>(<i>x</i>)-Laplacean system	2005	E. Acerbi Giuseppe Mingione	6
+ PDF Chat	The obstacle problem for nonlinear integro-differential operators	2016	Janne Korvenpää Tuomo Kuusi Giampiero Palatucci	6
+	The Dirichlet problem for the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:mi>p</mml:mi></mml:math>-fractional Laplace equation	2018	Giampiero Palatucci	6
+ PDF Chat	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	6
+	Fine Regularity of Solutions of Elliptic Partial Differential Equations	1997	Jan Malý William P. Ziemer	6
+	Proof of two conjectures of H. Brezis and L.A. Peletier	1989	Olivier Rey	6
+	The Singular Set of Minima of Integral Functionals	2005	Jan Kristensen Giuseppe Mingione	6
+	Nonlinear Measure Data Problems	2011	Giuseppe Mingione	6
+	OnW1,p estimates for elliptic equations in divergence form	1998	Luis Caffarelli Ireneo Peral	6