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).
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页数：20
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