Existence and regularity results for fully nonlinear equations with singularities - Archive ouverte HAL Access content directly
Journal Articles Mathematische Annalen Year : 2010

Existence and regularity results for fully nonlinear equations with singularities

Abstract

In this paper we consider the Dirichlet boundary value problem for a singular elliptic PDE lke $F[u] = p(x)u^{-\mu}$, where $p,\mu\ge 0$, in a bounded smooth domain in $\mathbb{R}^n$. The nondivergence form operator $F$ is assumed to be of Hamilton-Jacobi-Bellman or Isaacs type. We establish existence and regularity results for such equations.
Fichier principal
Vignette du fichier
singular5.pdf (237.9 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00462082 , version 1 (08-03-2010)
hal-00462082 , version 2 (07-07-2010)

Identifiers

  • HAL Id : hal-00462082 , version 1

Cite

Patricio Felmer, Alexander Quaas, Boyan Sirakov. Existence and regularity results for fully nonlinear equations with singularities. Mathematische Annalen, 2010. ⟨hal-00462082v1⟩
80 View
228 Download

Share

Gmail Facebook X LinkedIn More