Entire solutions of multivalued nonlinear Schrodinger equations in Sobolev spaces with variable exponent

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dc.creatorDinu, Teodora Liliana
dc.date2005-11-07
dc.date.accessioned2026-07-07T06:50:56Z
dc.date.available2026-07-07T06:50:56Z
dc.descriptionWe establish the existence of an entire solution for a class of stationary Schrödinger equations with subcritical discontinuous nonlinearity and lower bounded potential that blows-up at infinity. The abstract framework is related to Lebesgue-Sobolev spaces with variable exponent. 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 without the Palais-Smale condition for locally Lipschitz functionals. Our result generalizes in a nonsmooth framework a result of Rabinowitz on the existence of ground-state solutions of the nonlinear Schrödinger equation.
dc.identifierhttps://arxiv.org/abs/math/0511184
dc.identifierhttp://arxiv.org/abs/math/0511184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104823
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J50, 49J52, 58E05
dc.titleEntire solutions of multivalued nonlinear Schrodinger equations in Sobolev spaces with variable exponent
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