Entropy solution for a nonlinear elliptic problem with lower order term in Musielak-Orlicz spaces

被引：12
作者：
Elarabi, R. [1 ]
Rhoudaf, M. [1 ]
Sabiki, H. [2 ]
机构：
[1] Univ Moulay Ismail, Equipe EDP & Calcul Sci, Fac Sci Meknes, Meknes, Morocco
[2] Univ Ibn Tofail, Lab Anal Geometrie & Applicat, Fac Sci, BP 133, Kenitra 14000, Morocco
来源：
RICERCHE DI MATEMATICA | 2018年 / 67卷 / 02期
关键词：
Nonlinear elliptic problems; Non-polynomial growth; Musielak-Orlicz spaces; Lower order terms; APPROXIMATION PROPERTIES; EXISTENCE; INEQUALITIES; EQUATIONS;
D O I：
10.1007/s11587-017-0334-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we shall be concerned with the existence result of the following problem, {-div (a(x, u, del u)) - div(Phi(x, u)) = f in Omega, (0.1) u = 0 on partial derivative Omega, with the second term f belongs to L-1(Omega). The growth and the coercivity conditions on themonotone vector field a are prescribed by a generalized N-function M. We assume any restriction on M, therefore we work with Musielak-Orlicz spaces which are not necessarily reflexive. The lower order term Phi is a Caratheodory function satisfying only a growth condition.
引用
收藏
页码：549 / 579
页数：31
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