GLOBAL REGULARITY FOR A SINGULAR EQUATION AND LOCAL H1 MINIMIZERS OF A NONDIFFERENTIABLE FUNCTIONAL-Reference-Cited by-同舟云学术

GLOBAL REGULARITY FOR A SINGULAR EQUATION AND LOCAL H1 MINIMIZERS OF A NONDIFFERENTIABLE FUNCTIONAL

Published:2004-02 Issue:01 Volume:06 Page:165-193
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

DÁVILA JUAN¹

Affiliation:

1. Departamento de Ingeniería Matemática, CMM, Universidad de Chile, Casilla 170/3 – Correo 3, Santiago, Chile

Abstract

We prove optimal Hölder estimates up to the boundary for the maximal solution of a singular elliptic equation. The techniques used in this argument are applied to show that in some situations the maximal solution is a local minimizer of the corresponding functional in the topology of H1.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199704001240

Reference7 articles.

1. M. Giaquinta, Annals of Math. Stud., Multiple integrals in the calculus of variations and nonlinear elliptic systems (Princeton University Press, 1983) p. 105.

2. Differentiability of minima of non-differentiable functionals

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