Geodesic
Existence of infinitely many symmetric solutions to perturbed elliptic equations with discontinuous nonlinearities in \(\mathbb R^N\)
Electronic journal of differential equations, Tome 2015 (2015)
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.
Classification : 34A16, 35J20
Keywords: radially symmetric solutions, perturbed elliptic equation, discontinuous nonlinearities, critical point theory, variational method 
@article{EJDE_2015__2015__a93,
     author = {Heidarkhani,  Shapour and Gharehgazlouei,  Fariba and Solimaninia,  Arezoo},
     title = {Existence of infinitely many symmetric solutions to perturbed elliptic equations with discontinuous nonlinearities in \(\mathbb {R^N\)}},
     journal = {Electronic journal of differential equations},
     year = {2015},
     volume = {2015},
     zbl = {1321.35021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a93/}
}
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JO  - Electronic journal of differential equations
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%A Solimaninia,  Arezoo
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%J Electronic journal of differential equations
%D 2015
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%F EJDE_2015__2015__a93
Heidarkhani,  Shapour; Gharehgazlouei,  Fariba; Solimaninia,  Arezoo. Existence of infinitely many symmetric solutions to perturbed elliptic equations with discontinuous nonlinearities in \(\mathbb R^N\). Electronic journal of differential equations, Tome 2015 (2015). http://geodesic.mathdoc.fr/item/EJDE_2015__2015__a93/