Existence of solutions to a nonvariational elliptic boundary value problem with parameter and discontinuous nonlinearity

被引：0

作者：

Pavlenko V.N. ^{[1
]}

Potapov D.K. ^{[2
]}

机构：

[1] Chelyabinsk State University, Chelyabinsk

[2] Saint Petersburg State University, Saint Petersburg

来源：

Siberian Advances in Mathematics | 2017年 / 27卷 / 1期

关键词：

discontinuous nonlinearity; method of upper and lower solutions; nonselfadjoint differential operator; nontrivial solution; spectral parameter;

D O I：

10.3103/S1055134417010023

中图分类号：

学科分类号：

摘要：

We consider the question of the existence of the Dirichlet problem for second-order elliptic equations with spectral parameter and a nonlinearity discontinuous with respect to the phase variable. Here it is not assumed that the differential operator is formally selfadjoint. Using the method of upper and lower solutions, we establish results on the existence of nontrivial (positive and negative) solutions under positive values of the spectral parameter for the problems under study. © 2017, Allerton Press, Inc.

引用

页码：16 / 25

页数：9

共 34 条

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