A class of nonlinear degenerate elliptic equations related to the Gauss measure

被引：3

作者：

di Blasio, Giuseppina ^{[1
]}

Feo, Filomena ^{[2
]}

机构：

[1] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

[2] Univ Napoli Pathenope, Dipartimento Tecnol, Ctr Direz Isola C4, I-80143 Naples, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 386卷 / 02期

关键词：

Existence results; A priori estimates; Symmetrization; Gauss measure; PARABOLIC EQUATIONS; EXISTENCE;

D O I：

10.1016/j.jmaa.2011.08.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a priori estimates and existence results for Dirichlet problems whose model case is: {-div(u=0)(vertical bar Du vertical bar(p-2)Du/(1 + vertical bar u vertical bar)(theta(p-1))phi) = g phi in Omega, on partial derivative Omega, where Omega is an open subset of R-N with gamma(Omega) < 1, N >= 2, 1 < p < +infinity, theta >= 0 and phi is the density of Gauss measure. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：763 / 779

页数：17

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