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

页码：549 / 579

页数：31

共 24 条

[11] ALMOST EVERYWHERE CONVERGENCE OF THE GRADIENTS OF SOLUTIONS TO ELLIPTIC AND PARABOLIC EQUATIONS [J].