Boundary value problems of a class of nonlinear partial differential inclusions

被引：8
|
作者：
Cheng, Yi [1 ,2 ]
Cong, Fuzhong [1 ,2 ]
Xue, Xiaoping [3 ]
机构：
[1] Jilin Univ, Inst Math, Changchun 130012, Peoples R China
[2] Aviat Univ AF, Dept Fdn 2, Changchun 130022, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 06期
关键词：
Differential inclusion; Leray-Schauder alternative theorem; Boundary value problem; Extremal solution; DISCONTINUOUS NONLINEARITIES; DECOMPOSABLE VALUES; 2ND-ORDER; EQUATIONS; EXISTENCE; THEOREMS; MAPS;
D O I：
10.1016/j.nonrwa.2011.05.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the boundary value problems of nonlinear partial differential inclusions, driven by a negative Laplacian, and with the multivalued term which contains the gradient. It is proved the existence of solutions for the inclusions with the convex and nonconvex valued perturbations. The existence of extremal solutions and a strong relaxation theorem are also obtained. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：3095 / 3102
页数：8
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