Positive solutions to nonlinear nonhomogeneous inclusion problems with dependence on the gradient

被引：13
|
作者：
Zeng, Shengda [1 ]
Liu, Zhenhai [2 ,3 ]
Migorski, Stanislaw [4 ,5 ]
机构：
[1] Jagiellonian Univ Krakow, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
[2] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi, Peoples R China
[3] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi, Peoples R China
[4] Qinzhou Univ, Coll Sci, Qinzhou 535000, Guangxi, Peoples R China
[5] Jagiellonian Univ Krakow, Chair Optimizat & Control, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 463卷 / 01期
基金：
欧盟地平线“2020”;
关键词：
Nonlinear elliptic inclusion; Nonhomogeneous partial differential operator; Convection multivalued term; Subsolution-supersolution; Positive solution; LINEAR ELLIPTIC-EQUATIONS; VARIATIONAL-INEQUALITIES; EIGENVALUE PROBLEMS; EXISTENCE;
D O I：
10.1016/j.jmaa.2018.03.033
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of the paper is to study a generalized elliptic inclusion problem driven by a nonhomogeneous partial differential operator with the Dirichlet boundary condition and a convection multivalued term. An existence theorem for positive solutions of the problem is established by applying the method of subsolution-supersolution, together with truncation and comparison techniques. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：432 / 448
页数：17
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