Nontrivial solutions for nonvariational quasilinear Neumann problems
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Nonvariational problem, asymptotic differential operator, degree theory, (S)$_{ }$-operator, nonsmooth potential, generalized subdifferentialAbstrakt
We consider a nonlinear nonvariational Neumann problem with a nonsmooth potential. Using the spectrum of the assymptotic (as $\vert x\vert \rightarrow\infty)$ differential operator and degree theoretic techniques based on the degree map of certain multivalued perturbations of (S)$_{+}$-operators, we establish the existence of at least one nontrivial smooth solution.Pobrania
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2010-04-23
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PAPAGEORGIOU, Nikolaos S., SANTOS, Sandrina Rafaela Andrade & STAICU, Vasile. Nontrivial solutions for nonvariational quasilinear Neumann problems. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2010, T. 36, nr 1, s. 39–59. [udostępniono 22.7.2024].
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