Multiple solutions for a problem with discontinuous nonlinearity

被引:10
|
作者
Alves, Claudianor O. [1 ]
dos Santos, Jefferson A. [1 ]
Nemer, Rodrigo C. M. [1 ]
机构
[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil
关键词
Variational methods; Discontinuous nonlinearity; Lusternik-Schnirelmann category; PARTIAL-DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; R-N; DOMAIN TOPOLOGY; COMPACTNESS; EXISTENCE;
D O I
10.1007/s10231-017-0708-6
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we use the Lusternik-Schnirelmann category to estimate the number of nontrivial solutions for a problem with discontinuous nonlinearity and subcritical growth.
引用
收藏
页码:883 / 903
页数:21
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