EXISTENCE OF BOUNDED SOLUTIONS TO SOME NONLINEAR DEGENERATE ELLIPTIC SYSTEMS

被引：10

作者：

Leonetti, Francesco ^{[1
]}

Petricca, Pier Vincenzo ^{[1
]}

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2009年 / 11卷 / 01期

关键词：

Existence; bounded; solution; nonlinear; elliptic; system; degenerate; coercivity; PARTIAL REGULARITY; MINIMIZERS; INTEGRALS;

D O I：

10.3934/dcdsb.2009.11.191

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence of bounded weak solutions u : Omega subset of R-n -> R-N for the Dirichlet problem { -div(a(x, u(x), Du(x))) = f(x), x is an element of Omega; u(x) = 0, x is an element of partial derivative Omega where Omega is a bounded open set, a is a suitable degenerate elliptic operator and f has enough integrability.

引用

页码：191 / 203

页数：13

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