Friedemann Brock

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All published works

Action	Title	Year	Authors
+	Shape of extremal functions for weighted Sobolev-type inequalities	2023	Friedemann Brock Francesco Chiacchio Gisella Croce Anna Mercaldo
+	Symmetry and stability of non-negative solutions to degenerate elliptic equations in a ball	2021	Friedemann Brock Peter Takáč
+ PDF Chat	Some isoperimetric inequalities with respect to monomial weights	2020	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+ PDF Chat	Steiner symmetrization for anisotropic quasilinear equations via partial discretization	2020	Friedemann Brock Jesús Ildefonso Díaz Díaz Adele Ferone David Gómez‐Castro Anna Mercaldo
+	A unified approach to symmetry for semilinear equations associated to the Laplacian in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>	2020	Andrés I. Ávila Friedemann Brock
+ PDF Chat	Some Weighted Isoperimetric Problems on $${\mathbb {R}}^N _+ $$ with Stable Half Balls Have No Solutions	2020	Friedemann Brock Ferdinando Chıacchıo
+	Steiner symmetrization for anisotropic quasilinear equations via partial discretization	2019	Friedemann Brock Jesús Ildefonso Díaz Díaz Adele Ferone David Gómez‐Castro Anna Mercaldo
+	The isoperimetric problem for a class of non-radial weights and applications	2019	Angelo Alvino Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo Maria Rosaria Posteraro
+	Some isoperimetric inequalities with respect to monomial weights	2019	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+	Some weighted isoperimetric problems on $\mathbb{R}^N _+ $ with stable half balls have no solutions	2019	Friedemann Brock Francesco Chiacchio
+	A unified approach to symmetry for semilinear equations associated to the Laplacian in $\mathbb{R}^N$	2019	Andrés I. Ávila Friedemann Brock
+	Some isoperimetric inequalities with respect to monomial weights	2019	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+	Some weighted isoperimetric problems on $\mathbb{R}^N _+ $ with stable half balls have no solutions	2019	Friedemann Brock Francesco Chiacchio
+	Symmetry and stability of non-negative solutions to degenerate elliptic equations in a ball	2019	Friedemann Brock Peter Takáč
+ PDF Chat	On weighted isoperimetric inequalities with non-radial densities	2018	Angelo Alvino Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo Maria Rosaria Posteraro
+	New Pólya–Szegö-type inequalities and an alternative approach to comparison results for PDE's	2018	Friedemann Brock Ferdinando Chıacchıo Adele Ferone Anna Mercaldo
+	The isoperimetric problem for a class of non-radial weights and applications	2018	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+	On weighted isoperimetric inequalities with non-radial densities	2018	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+	The isoperimetric problem for a class of non-radial weights and applications	2018	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+	On weighted isoperimetric inequalities with non-radial densities	2018	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Maria Rosaria Posteraro
+ PDF Chat	Symmetry and asymmetry of minimizers of a class of noncoercive functionals	2017	Friedemann Brock Gisella Croce Olivier Guibé Anna Mercaldo
+	New P\'olya-Szeg\"o-type inequalities and an alternative approach to comparison results for PDE's	2017	Friedemann Brock Adele Ferone Francesco Chiacchio Anna Mercaldo
+	Some isoperimetric inequalities on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>with respect to weights \|x\|	2017	Angelo Alvino Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo Maria Rosaria Posteraro
+	New Pólya-Szegö-type inequalities and an alternative approach to comparison results for PDE's	2017	Friedemann Brock Adele Ferone Francesco Chiacchio Anna Mercaldo
+	Some isoperimetric inequalities on $\mathbb{R} ^N$ with respect to weights $\|x\|^\alpha $	2016	Angelo Alvino Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo Maria Rosaria Posteraro
+ PDF Chat	Symmetry for a general class of overdetermined elliptic problems	2016	Friedemann Brock
+	An isoperimetric inequality for Gauss-like product measures	2016	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo
+	Some isoperimetric inequalities on $\mathbb{R}^{N}$ with respect to weights $\left\vert x\right\vert ^{\alpha }$	2016	Angelo Alvino Friedemann Brock Francesco Chiacchio Anna Mercaldo Posteraro Maria Rosaria
+	Symmetry and asymmetry of minimizers of a class of noncoercive functionals	2016	Friedemann Brock Gisella Croce Olivier Guibé Anna Mercaldo
+ PDF Chat	Optimal Szegö-Weinberger type inequalities	2016	Gabriella Di Blasio Francesco Chiacchio Friedemann Brock
+	Some isoperimetric inequalities on $\mathbb{R} ^N$ with respect to weights $\|x\|^α$	2016	Angelo Alvino Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo Maria Rosaria Posteraro
+	Symmetry for a general class of overdetermined elliptic problems	2015	Friedemann Brock
+	An isoperimetric inequality for Gauss--like product measures	2015	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+	Symmetry for a general class of overdetermined elliptic problems	2015	Friedemann Brock
+	An isoperimetric inequality for Gauss--like product measures	2015	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+	Optimal Szegö-Weinberger type inequalities	2014	Friedemann Brock Ferdinando Chıacchıo Giuseppina di Blasio
+	A Weighted Isoperimetric Inequality in an Orthant	2013	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo
+ PDF Chat	On isoperimetric inequalities with respect to infinite measures	2013	Friedemann Brock Anna Mercaldo Maria Rosaria Posteraro
+	A weighted isoperimetric inequality in a wedge	2012	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+ PDF Chat	Weighted isoperimetric inequalities in cones and applications	2012	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo
+	A RELATIVE ISOPERIMETRIC INEQUALITY	2012	Friedemann Brock Michel Willem
+	A weighted isoperimetric inequality in a wedge	2012	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+	Weighted isoperimetric inequalities in cones and applications	2011	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+	Weighted Isoperimetric Inequalities and Applications to Elliptic Equations	2011	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+	On isoperimetric inequalities with respect to infinite measures	2011	Friedemann Brock Anna Mercaldo Maria Rosaria Posteraro
+	Weighted isoperimetric inequalities in cones and applications	2011	Friedemann Brock Francesco Chiacchio Anna Mercaldo
+ PDF Chat	A Multiplicity Result for the p-Laplacian Involving a Parameter	2008	Friedemann Brock Leonelo Iturriaga Pedro Ubilla
+	A class of degenerate elliptic equations and a Dido's problem with respect to a measure	2008	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo
+	Weighted isoperimetric inequalities on ℝ<sup><i>n</i></sup> and applications to rearrangements	2008	Maria Francesca Betta Friedemann Brock Anna Mercaldo Maria Rosaria Posteraro
+	Asymptotics at infinity of solutions for -Laplace equations in exterior domains	2007	Andrés I. Ávila Friedemann Brock
+	Rearrangements and Applications to Symmetry Problems in PDE	2007	Friedemann Brock
+ PDF Chat	On the Rayleigh quotient and the first eigenvalue for some vector-valued variational problems	2007	Friedemann Brock Raúl Manásevich
+	Existence of positive solutions for $p$--Laplacian problems with weights	2006	Friedemann Brock Leonelo Iturriaga Justino Sánchez Pedro Ubilla
+	Semi-linear singular elliptic equations with dependence on the gradient	2005	Friedemann Brock Leonelo Iturriaga Pedro Ubilla
+	Positivity and radial symmetry of solutions to some variational problems in RN	2004	Friedemann Brock
+	Symmetry and monotonicity of solutions to some variational problems in cylinders and annuli	2003	Friedemann Brock
+	A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative	2002	Friedemann Brock Antoine Henrot
+	REARRANGEMENTS AND QUALITATIVE PROPERTIES OF SOLUTIONS OF BOUNDARY VALUE PROBLEMS	2002	Friedemann Brock
+	An Isoperimetric Inequality for Eigenvalues of the Stekloff Problem	2001	Friedemann Brock
+	An Isoperimetric Inequality for Eigenvalues of the Stekloff Problem	2000	Friedemann Brock
+	Some new symmetry results for elliptic problems on the sphere and in Euclidean space	2000	Friedemann Brock Jugal K. Prajapat
+	One-dimensionality of Solutions of Semilinear Elliptic Problems in Cylindrical Domains	2000	Friedemann Brock
+	Continuous rearrangement and symmetry of solutions of elliptic problems	2000	Friedemann Brock
+	One-dimensionality of Solutions of Semilinear Elliptic Problems in Cylindrical Domains	2000	Friedemann Brock
+	A general rearrangement inequality à la Hardy–Littlewood	2000	Friedemann Brock
+	A general rearrangement inequality à la Hardy–Littlewood	2000	Friedemann Brock
+ PDF Chat	An approach to symmetrization via polarization	1999	Friedemann Brock Alexander Yu. Solynin
+	Weighted Dirichlet-type inequalities for Steiner symmetrization	1999	Friedemann Brock
+	A weighted isoperimetric inequality and applications to symmetrization	1999	MF Betta Friedemann Brock Anna Mercaldo MR Posteraro
+	A symmetry problem in the calculus of variations	1996	Friedemann Brock Vincenzo Ferone Bernd Kawohl
+	Continuous Steiner‐Symmetrization	1995	Friedemann Brock
+ PDF Chat	Steiner Symmetrization and Periodic Solutions of Boundary Value Problems	1994	Friedemann Brock

Common Coauthors

Coauthor	Papers Together
Anna Mercaldo	36
Francesco Chiacchio	21
Maria Rosaria Posteraro	15
Angelo Alvino	13
Ferdinando Chıacchıo	12
Adele Ferone	5
Andrés I. Ávila	3
Pedro Ubilla	3
Gisella Croce	3
Leonelo Iturriaga	3
Olivier Guibé	2
David Gómez‐Castro	2
Jesús Ildefonso Díaz Díaz	2
Peter Takáč	2
MR Posteraro	1
Bernd Kawohl	1
Giuseppina di Blasio	1
Raúl Manásevich	1
Alexander Yu. Solynin	1
Antoine Henrot	1
Posteraro Maria Rosaria	1
Jugal K. Prajapat	1
Justino Sánchez	1
Gabriella Di Blasio	1
Maria Francesca Betta	1
Vincenzo Ferone	1
MF Betta	1
Michel Willem	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Rearrangements and Convexity of Level Sets in PDE	1985	Bernhard Kawohl	21
+	Weighted isoperimetric inequalities on ℝ<sup><i>n</i></sup> and applications to rearrangements	2008	Maria Francesca Betta Friedemann Brock Anna Mercaldo Maria Rosaria Posteraro	16
+	A weighted version of a rearrangement inequality	1997	Giorgio Talenti	15
+ PDF Chat	On the isoperimetric problem in Euclidean space with density	2007	César Rosales Antonio Cañete Vincent Bayle Frank Morgan	15
+	Sharp estimates for solutions to a certain type of singular elliptic boundary value problems in two dimensions	1981	Carla Maderna Sandro Salsa	14
+ PDF Chat	Sobolev and isoperimetric inequalities with monomial weights	2013	Xavier Cabré Xavier Ros‐Oton	13
+	Elliptic equations and rearrangements	1976	Giorgio Talenti	13
+ PDF Chat	Weighted isoperimetric inequalities in cones and applications	2012	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo	12
+	Isoperimetric inequalities and applications	1980	Catherine Bandle	12
+	Isoperimetric regions in the plane with density r p	2010	Jonathan Dahlberg Alexander Dubbs Edward Newkirk Hung Tran	12
+	The Brunn-Minkowski inequality in Gauss space	1975	Christer Borell	12
+	A class of degenerate elliptic equations and a Dido's problem with respect to a measure	2008	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo	11
+	A Weighted Isoperimetric Inequality in an Orthant	2013	Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo	11
+ PDF Chat	The Log-Convex Density Conjecture and vertical surface area in warped products	2015	Sean Howe	11
+	A weighted isoperimetric inequality and applications to symmetrization	1999	MF Betta Friedemann Brock Anna Mercaldo MR Posteraro	11
+ PDF Chat	Some Isoperimetric Problems in Planes with Density	2009	Antonio Cañete Michele Miranda Davide Vittone	11
+ PDF Chat	THE ISOPERIMETRIC PROBLEM ON PLANES WITH DENSITY	2008	Colin Daniel Carroll Adam Jacob Conor Quinn Robin Walters	10
+ PDF Chat	Symmetry and related properties via the maximum principle	1979	Basilis Gidas Wei‐Ming Ni Louis Nirenberg	9
+	On the method of moving planes and the sliding method	1991	Henri Berestycki Louis Nirenberg	9
+ PDF Chat	Extremal properties of half-spaces for spherically invariant measures	1978	V. N. Sudakov Boris Tsirelson	9
+ PDF Chat	On isoperimetric inequalities with respect to infinite measures	2013	Friedemann Brock Anna Mercaldo Maria Rosaria Posteraro	9
+	Continuous rearrangement and symmetry of solutions of elliptic problems	2000	Friedemann Brock	8
+ PDF Chat	Symmetry of Ground States of Quasilinear Elliptic Equations	1999	James Serrin Henghui Zou	8
+	Some isoperimetric inequalities on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>N</mml:mi></mml:mrow></mml:msup></mml:math>with respect to weights \|x\|	2017	Angelo Alvino Friedemann Brock Ferdinando Chıacchıo Anna Mercaldo Maria Rosaria Posteraro	8
+	Continuous Steiner‐Symmetrization	1995	Friedemann Brock	8
+	On optimization problems with prescribed rearrangements	1989	Angelo Alvino Guido Trombetti Pierre‐Louis Lions	7
+ PDF Chat	Euclidean balls solve some isoperimetric problems with nonradial weights	2012	Xavier Cabré Xavier Ros‐Oton Joaquim Serra	7
+	The Standard Isoperimetric Theorem	1993	Giorgio Talenti	7
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	7
+ PDF Chat	A comparison result related to Gauss measure	2002	Maria Francesca Betta Friedman Brock Anna Mercaldo Maria Rosaria Posteraro	7
+ PDF Chat	Symmetry of Ground States of p -Laplace Equations via the Moving Plane Method	1999	Lucio Damascelli Filomena Pacella Mythily Ramaswamy	7
+	Extremum Problems for Eigenvalues of Elliptic Operators	2006	Antoine Henrot	7
+	Isoperimetric Regions in Rn with Density rp	2016	Wyatt Boyer B. C. Brown Gregory R. Chambers Alyssa Loving Sarah Tammen	6
+	Symmetry of positive solutions of nonlinear elliptic equations in R^n	1981	Basilis Gidas	6
+	Spherical rearrangements, subharmonic functions, and ∗-functions in n-space	1976	Albert Baernstein B. A. Taylor	6
+ PDF Chat	An approach to symmetrization via polarization	1999	Friedemann Brock Alexander Yu. Solynin	6
+ PDF Chat	Minimal rearrangements of Sobolev functions.	1988	William P. Ziemer John E. Brothers	6
+	Elliptic equations and Steiner symmetrization	1996	Angelo Alvino Guido Trombetti Jesús Ildefonso Díaz Díaz Pierre‐Louis Lions	6
+ PDF Chat	On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in R n I. Asymptotic behavior	1992	Yi Li Wei Ni	6
+ PDF Chat	Convex symmetrization and applications	1997	Guido Trombetti Pierre‐Louis Lions Angelo Alvino Vincenzo Ferone	6
+ PDF Chat	Comparison results for elliptic and parabolic equations via Schwarz symmetrization	1990	Pierre‐Louis Lions Angelo Alvino Guido Trombetti	6
+ PDF Chat	On isoperimetric sets of radially symmetric measures	2011	Alexander V. Kolesnikov Roman I. Zhdanov	6
+	Rearrangements of functions	1986	J.A. Crowe John Zweibel P. C. Rosenbloom	6
+	Proof of the Log-Convex Density Conjecture	2013	Gregory R. Chambers	6
+	A general rearrangement inequality for multiple integrals	1974	H. J. Brascamp Élliott H. Lieb J. M. Luttinger	5
+	Isoperimetric inequalities in mathematical physics	1951	George Pólya Gábor Szegő	5
+	Symmetry of C<sup>1</sup> Solutions of p-Laplace Equations in ℝ<sup>N</sup>	2001	Lucio Damascelli Mythily Rarnaswarny	5
+	First order interpolation inequalities with weights	1984	Luis Caffarelli Robert V. Kohn Louis Nirenberg	5
+ PDF Chat	Isoperimetric problems in sectors with density	2012	Alexander Diaz-Lopez Nate Harman Sean Howe David Thompson	5
+ PDF Chat	Radial symmetry of positive solutions of nonlinear elliptic equations in R<sup>n</sup>	1993	Yi Li Wei‐Ming Ni	5