Existence Result for Solutions to Some Noncoercive Elliptic Equations

被引：1

作者：

Marah, A. ^{[1
,2
]}

Redwane, H. ^{[2
]}

机构：

[1] Univ Chouaib Doukkali, Faculte Sci Jurid, Econom & Soci, El Jadida, Morocco

[2] Univ Hassan 1, Faculte Sci Jurid, Econom & Soci, B P 764SETTAT, Morocco

来源：

ACTA APPLICANDAE MATHEMATICAE | 2023年 / 187卷 / 01期

关键词：

Nonlinear elliptic equations; Degenerate ellipticity; Renormalized solutions; Existence results; 35J60; 35J70; RENORMALIZED SOLUTIONS; UNIQUENESS; TERMS;

D O I：

10.1007/s10440-023-00609-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we study a class of degenerate Dirichlet problems, whose prototype is [-div(del u(1+|u|)gamma+c(x)|u|theta-1u log beta(1+|u|))=f in Omega, u=0 on partial derivative Omega, where Omega is a bounded open subset of R-N. 0<gamma<1, 0<theta <= 1 and 0 <=beta<1. We prove existence of bounded solutions when f and c belong to suitable Lebesgue spaces. Moreover, we investegate the existence of renormalized solutions when the function f belongs only to L-1(Omega).

引用

页数：20

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