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1

Stable Solutions of Elliptic Equations on Riemannian Manifolds

Alberto Farina, Yannick Sire, Enrico Valdinoci

Journal:

Journal of Geometric Analysis

Year:

2013

Language:

english

File:

PDF, 301 KB

english, 2013

2

[WORLD SCIENTIFIC The International Conference on Reaction-Diffusion System and Viscosity Solutions - Providence University, Taiwan (3 – 6 January 2007)] Recent Progress on Reaction-Diffusion Systems and Viscosity Solutions - THE STATE OF THE ART FOR A CONJECTURE OF DE GIORGI AND RELATED PROBLEMS

Farina, Alberto, Valdinoci, Enrico

Year:

2009

Language:

english

File:

PDF, 782 KB

english, 2009

3

A pointwise gradient estimate in possibly unbounded domains with nonnegative mean curvature

Alberto Farina, Enrico Valdinoci

Journal:

Advances in Mathematics

Year:

2010

Language:

english

File:

PDF, 185 KB

english, 2010

4

On a Poincaré type formula for solutions of singular and degenerate elliptic equations

Alberto Farina, Berardino Sciunzi, Enrico Valdinoci

Journal:

manuscripta mathematica

Year:

2010

Language:

english

File:

PDF, 144 KB

english, 2010

5

Geometry of quasiminimal phase transitions

Alberto Farina, Enrico Valdinoci

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2008

Language:

english

File:

PDF, 437 KB

english, 2008

6

Gradient bounds for anisotropic partial differential equations

Alberto Farina, Enrico Valdinoci

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2014

Language:

english

File:

PDF, 257 KB

english, 2014

7

Splitting Theorems, Symmetry Results and Overdetermined Problems for Riemannian Manifolds

Farina, Alberto, Mari, Luciano, Valdinoci, Enrico

Journal:

Communications in Partial Differential Equations

Year:

2013

Language:

english

File:

PDF, 351 KB

english, 2013

8

On partially and globally overdetermined problems of elliptic type

Farina, Alberto, Valdinoci, Enrico

Journal:

American Journal of Mathematics

Year:

2013

Language:

english

File:

PDF, 474 KB

english, 2013

9

Partially and globally overdetermined problems of elliptic type

Farina, Alberto, Valdinoci, Enrico

Journal:

Advances in Nonlinear Analysis

Year:

2012

Language:

english

File:

PDF, 269 KB

english, 2012

10

$1$D symmetry for solutions of semilinear and quasilinear elliptic equations

Farina, Alberto, Valdinoci, Enrico

Journal:

Transactions of the American Mathematical Society

Year:

2011

Language:

english

File:

PDF, 754 KB

english, 2011

11

Monotonicity formulae and classification results for singular, degenerate, anisotropic PDEs

Cozzi, Matteo, Farina, Alberto, Valdinoci, Enrico

Journal:

Advances in Mathematics

Year:

2016

Language:

english

File:

PDF, 667 KB

english, 2016

12

Regularity and rigidity theorems for a class of anisotropic nonlocal operators

Farina, Alberto, Valdinoci, Enrico

Journal:

manuscripta mathematica

Year:

2017

Language:

english

File:

PDF, 506 KB

english, 2017

13

A three-dimensional symmetry result for a phase transition equation in the genuinely nonlocal regime

Dipierro, Serena, Farina, Alberto, Valdinoci, Enrico

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2018

Language:

english

File:

PDF, 497 KB

english, 2018

14

[Lecture Notes in Mathematics] Partial Differential Equations and Geometric Measure Theory Volume 2211 ||

Figalli, Alessio, Peral, Ireneo, Valdinoci, Enrico, Farina, Alberto, Valdinoci, Enrico

Year:

2018

Language:

english

File:

PDF, 3.01 MB

english, 2018

15

[Lecture Notes in Mathematics] Partial Differential Equations and Geometric Measure Theory Volume 2211 || On Some Elliptic and Parabolic Equations Related to Growth Models

Figalli, Alessio, Peral, Ireneo, Valdinoci, Enrico, Farina, Alberto, Valdinoci, Enrico

Year:

2018

Language:

english

File:

PDF, 1.73 MB

english, 2018

16

Pointwise gradient bounds for entire solutions of elliptic equations with non-standard growth conditions and general nonlinearities

Cavaterra, Cecilia, Dipierro, Serena, Farina, Alberto, Gao, Zu, Valdinoci, Enrico

Journal:

Journal of Differential Equations

Year:

2021

File:

PDF, 1.71 MB

2021

17

Flattening Results for Elliptic PDEs in Unbounded Domains with Applications to Overdetermined Problems

Alberto Farina, Enrico Valdinoci

Journal:

Archive for Rational Mechanics and Analysis

Year:

2010

Language:

english

File:

PDF, 373 KB

english, 2010

18

Liouville results for m-Laplace equations of Lane–Emden–Fowler type

Lucio Damascelli, Alberto Farina, Berardino Sciunzi, Enrico Valdinoci

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2009

Language:

english

File:

PDF, 250 KB

english, 2009

19

[Contemporary Mathematics] Symmetry for Elliptic PDEs Volume 528 ||

Farina, Alberto, Valdinoci, Enrico

Year:

2010

Language:

english

File:

PDF, 1.65 MB

english, 2010

20

A pointwise gradient estimate for solutions of singular and degenerate pde's in possibly unbounded domains with nonnegative mean curvature

Valdinoci, Enrico, Farina, Alberto, Castellaneta, Diego

Journal:

Communications on Pure and Applied Analysis

Year:

2012

Language:

english

File:

PDF, 518 KB

english, 2012

21

Correction of a technical point and some remarks about the paper appeared in Arch. Ration. Mech. Anal. 195(2010), no. 3, 1025–1058

Alberto Farina, Enrico Valdinoci

Journal:

Archive for Rational Mechanics and Analysis

Year:

2013

Language:

english

File:

PDF, 148 KB

english, 2013

22

Gradient Bounds and Rigidity Results for Singular, Degenerate, Anisotropic Partial Differential Equations

Matteo Cozzi,Alberto Farina,Enrico Valdinoci

Journal:

Communications in Mathematical Physics

Year:

2014

Language:

english

File:

PDF, 371 KB

english, 2014

23

Pointwise estimates and rigidity results for entire solutions of nonlinear elliptic pde’s

Farina, Alberto, Valdinoci, Enrico

Journal:

ESAIM Control Optimisation and Calculus of Variations

Year:

2013

Language:

english

File:

PDF, 235 KB

english, 2013

24

Some results on minimizers and stable solutions of a variational problem

FARINA, ALBERTO, VALDINOCI, ENRICO

Journal:

Ergodic Theory and Dynamical Systems

Year:

2012

Language:

english

File:

PDF, 330 KB

english, 2012

25

1D Symmetry for Semilinear PDEs from the Limit Interface of the Solution

Farina, Alberto, Valdinoci, Enrico

Journal:

Communications in Partial Differential Equations

Year:

2016

Language:

english

File:

PDF, 601 KB

english, 2016

26

A rigidity result for non-local semilinear equations

Farina, Alberto, Valdinoci, Enrico

Journal:

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Year:

2017

Language:

english

File:

PDF, 154 KB

english, 2017

27

Rigidity results for elliptic PDEs with uniform limits: an abstract framework with applications

Farina, Alberto, Valdinoci, Enrico

Journal:

Indiana University Mathematics Journal

Year:

2011

Language:

english

File:

PDF, 299 KB

english, 2011

28

Density Estimates for Degenerate Double-Well Potentials

Dipierro, Serena, Farina, Alberto, Valdinoci, Enrico

Journal:

SIAM Journal on Mathematical Analysis

Year:

2018

Language:

english

File:

PDF, 376 KB

english, 2018

29

Gradient estimates for a class of anisotropic nonlocal operators

Farina, Alberto, Valdinoci, Enrico

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2019

Language:

english

File:

PDF, 345 KB

english, 2019

30

Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings

Farina, Alberto, Sire, Yannick, Valdinoci, Enrico

Journal:

Proceedings of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 127 KB

english, 2012

31

Stable solutions of elliptic equations on Riemannian manifolds with Euclidean coverings

Farina, Alberto, Sire, Yannick, Valdinoci, Enrico

Journal:

Proceedings of the American Mathematical Society

Year:

2012

File:

PDF, 127 KB

2012

32

Overdetermined problems in unbounded domains with Lipschitz singularities

Farina, Alberto, Valdinoci, Enrico

Journal:

Revista Matemática Iberoamericana

Year:

2010

File:

PDF, 127 KB

2010