Existence and uniqueness of solutions of some nonlinear equations in Orlicz spaces and weighted Sobolev spaces

被引：0
作者：
Aharouch, L. [1 ]
Benkirane, A. [2 ]
Bennouna, J. [2 ]
Touzani, A. [2 ]
机构：
[1] Fac Polydisciplinaire Ouarzazate, BP 638, Ouarzazate, Morocco
[2] Dept Math & Informat, Fac Sci, Atlas Fes, Morocco
来源：
RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS | 2010年
关键词：
Orlicz Sobolev spaces; Weighted Sobolev spaces; Renormalized solution; Entropy solution; Weak solution; Boundary value problems; ELLIPTIC PROBLEMS;
D O I：
10.1142/9789814295574_0012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show, in the framework of Orlicz Sobolev spaces, the existence of renormalized and entropy solutions of some nonlinear equations and the existence and uniqueness of a unilateral problem. The existence of weak and renormalized solution of a nonlinear equation is also presented in the framework of weighted Sobolev spaces.
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页码：170 / +
页数：3
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