Existence and multiplicity of solutions for resonant nonlinear Neumann problems
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Resonant problems, homological local linking, linking sets, Neumann p-LaplacianAbstrakt
We consider nonlinear Neumann problems driven by the $p$-Laplacian differential operator with a Caratheodory nonlinearity. Under hypotheses which allow resonance with respect to the principal eigenvalue $\lambda_{0}$ $=0$ at $\pm\infty$, we prove existence and multiplicity results. Our approach is variational and uses critical point theory and Morse theory (critical groups).Pobrania
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2010-04-23
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AIZICOVICI, Sergiu, PAPAGEORGIOU, Nikolaos S. & STAICU, Vasile. Existence and multiplicity of solutions for resonant nonlinear Neumann problems. Topological Methods in Nonlinear Analysis [online]. 23 kwiecień 2010, T. 35, nr 2, s. 235–252. [udostępniono 22.7.2024].
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