NONLINEAR ELLIPTIC EQUATIONS WITH MEASURE DATA IN ORLICZ SPACES

被引：1

作者：

Aberqi, A. ^{[1
]}

Bennouna, J. ^{[1
]}

Elmassoudi, M. ^{[1
]}

机构：

[1] Sidi Mohammed Ben Abdellah Univ, Lab LAMA, Fes, Morocco

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2022年 / 73卷 / 12期

基金：

新加坡国家研究基金会;

关键词：

EXISTENCE; INEQUALITIES;

D O I：

10.1007/s11253-022-02033-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence result for a unilateral problem Au - div(Phi(x, u)) + H(x, u, del u) = mu, where Au = -div(a(x, u, del u)) is a Leray-Lions operator defined in the Sobolev-Orlicz space D(A) subset of W-0(1) L-M (Omega) , mu is an element of L-1 (Omega) W-1 E-(M) over bar(Omega), where M and (M) over bar are two complementary N-functions. The first and second lower terms Phi and H satisfy solely the growth condition and an arbitrary sign condition and, moreover, u >= zeta, where zeta is a measurable function.

引用

页码：1835 / 1864

页数：30

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