Abstract
We establish the existence of an entire weak solution for a class of stationary Schrödinger systems with subcritical discontinuous nonlinearities and lower bounded potentials that blow-up at infinity. The proof relies on Chang's version of the Mountain Pass Lemma for locally Lipschitz functionals. Our result generalizes in a nonsmooth framework, a result of Rabinowitz [12] related to entire solutions of the Schrödinger equation.
Citation
Teodora-Liliana Dinu. "Variational Methods in the Study of Inequality Problems for Nonlinear Elliptic Systems with Lack of Compactness." Real Anal. Exchange 33 (1) 1 - 14, 2007/2008.
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