Electron. J. Diff. Equ., Vol. 2015 (2015), No. 123, pp. 1-17.

Existence of infinitely many symmetric solutions to perturbed elliptic equations with discontinuous nonlinearities in $\mathbb{R}^N$

Shapour Heidarkhani, Fariba Gharehgazlouei, Arezoo Solimaninia

Abstract:
In this article we study the existence of infinitely many radially symmetric solutions for a class of perturbed elliptic equations with discontinuous nonlinearities in $\mathbb{R}^N$. We determine open intervals of positive parameters for which the problem admits infinitely many symmetric solutions. Our proofs are based on variational methods.

Submitted November 10, 2014. Published May 5, 2015.
Math Subject Classifications: 34A16, 35J20.
Key Words: Radially symmetric solutions; perturbed elliptic equation; discontinuous nonlinearities; critical point theory; variational method.

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Shapour Heidarkhani
Department of Mathematics
Faculty of Sciences, Razi University
67149 Kermanshah, Iran
email: s.heidarkhani@razi.ac.ir
Fariba Gharehgazlouei
Department of Mathematics
Faculty of Sciences, Razi University
67149 Kermanshah, Iran
email: f.gharehgazloo@yahoo.com
Arezoo Solimaninia
Department of Mathematics
Faculty of Sciences, Razi University
67149 Kermanshah, Iran
email: a.solimaninia@yahoo.com

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