A Strongly Nonlinear Elliptic Problem with Generalized Growth in Musielak Spaces

被引：1

作者：

Bourahma, Mohamed ^{[1
]}

Benkirane, Abdelmoujib ^{[1
]}

Bennouna, Jaouad ^{[1
]}

机构：

[1] Sidi Mohamed Ben Abdellah Univ, Fac Sci Dhar Mahraz, Dept Math, Lab LAMA, PB 1796, Fez Atlas, Fez, Morocco

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2024年 / 32卷 / 01期

关键词：

Elliptic problems; Musielak-Orlicz-Sobolev spaces; Renormalized solutions; Generalized growth; PROBLEMS INVOLVING DERIVATIVES; RENORMALIZED SOLUTIONS; ORLICZ SPACES; EXISTENCE; EQUATIONS; TERMS;

D O I：

10.1007/s12591-020-00558-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we prove an existence theorem of renormalized solutions for nonlinear elliptic problem of the type -divA(x,u, del u)-div phi(x,u)+H(x,u, del u)=f in Omega, where the first lower-order term Phi satisfies only a generalized natural growth condition without any supplementary assumptions. The approach does not require any particular type of growth condition on Phi.

引用

页码：51 / 85

页数：35

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