Entire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential

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dc.creatorDinu, Teodora Liliana
dc.date2005-11-08
dc.date.accessioned2026-07-07T06:50:57Z
dc.date.available2026-07-07T06:50:57Z
dc.descriptionWe 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 \cite{rabi} related to entire solutions of the Schrödinger equation.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0511192
dc.identifierhttp://arxiv.org/abs/math/0511192
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104828
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J50, 49J52, 58E05
dc.titleEntire solutions of Schrödinger elliptic systems with discontinuous nonlinearity and sign-changing potential
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