Eigenvalue and Dirichlet problem for fully-nonlinear operators in non-smooth domains

被引：19

作者：

Birindelli, I. ^{[1
]}

Demengel, F. ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, RM, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 352卷 / 02期

关键词：

Fully nonlinear operators; Eigenvalue; Maximum principle; Viscosity solution; PRINCIPAL EIGENVALUES; ELLIPTIC-OPERATORS; MAXIMUM PRINCIPLE; BIFURCATION; EQUATIONS;

D O I：

10.1016/j.jmaa.2008.11.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the maximum principle, the existence of eigenvalue and the existence of solution for the Dirichlet problem relative to operators which are fully-nonlinear, elliptic but presenting some Singularity or degeneracy which are similar to those of the p-Laplacian, we consider the equations in bounded domains which only satisfy the exterior cone condition. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：822 / 835

页数：14

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