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
收藏
页码：51 / 85
页数：35
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