Existence of solutions for degenerate quasilinear elliptic equations

被引：14

作者：

Zou, Weilin ^{[1
]}

Li, Fengquan ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 09期

关键词：

Degenerate elliptic equations; Weak solution; L-infinity estimate; Renormalized solution; RENORMALIZED SOLUTIONS; BOUNDED SOLUTIONS; REARRANGEMENT; UNIQUENESS;

D O I：

10.1016/j.na.2010.06.077

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a class of degenerate quasilinear elliptic equations of the form -div(a(x, u, del u) = g - div(f), where a(x, u, del u) is allowed to be degenerate with the unknown u. We prove existence of bounded solutions under some hypothesis on f and g. Moreover we prove that there exists a renormalized solution in the case where g is an element of L-1(Omega) and f is an element of (L-p'(Omega))(N). (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：3069 / 3082

页数：14

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