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

JUAN DÁVILA

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

https://doi.org/10.1142/S0219199704001240Cited by:10 (Source: Crossref)

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.

Keywords:

AMSC: 35J65, 35R05, 35R35

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