Author:
Alves Claudianor O.,Yuan Ziqing,Huang Lihong
Abstract
AbstractThis paper concerns with the existence of multiple solutions for a class of elliptic problems with discontinuous nonlinearity. By using dual variational methods, properties of the Nehari manifolds and Ekeland's variational principle, we show how the ‘shape’ of the graph of the function A affects the number of nontrivial solutions.
Publisher
Cambridge University Press (CUP)
Reference29 articles.
1. Multiplicity of positive and nodal solutions for nonlinear elliptic problems in ℝN
2. Global branching for discontinuous problems;Ambrosetti;Commun. Math. Univ. Carolinae,1990
Cited by
4 articles.
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