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Standing wave solutions of Schrödinger systems with discontinuous nonlinearity in anisotropic media

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  • Teodora-Liliana Dinu

Abstract

We establish the existence of an entire solution for a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow up at infinity. The proof is based on the critical point theory in the sense of Clarke and we apply Chang's version of the mountain pass lemma for locally Lipschitz functionals. Our result generalizes in a nonsmooth framework a result of Rabinowitz (1992) related to entire solutions of the Schrödinger equation.

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  • Teodora-Liliana Dinu, 2006. "Standing wave solutions of Schrödinger systems with discontinuous nonlinearity in anisotropic media," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2006, pages 1-13, August.
    • Handle: RePEc:hin:jijmms:073619
    DOI: 10.1155/IJMMS/2006/73619
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