Existence and multiplicity of solutions for resonant nonlinear Neumann problems
Keywords
Resonant problems, homological local linking, linking sets, Neumann p-LaplacianAbstract
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).Downloads
Published
2010-04-23
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1.
AIZICOVICI, Sergiu, PAPAGEORGIOU, Nikolaos S. and STAICU, Vasile. Existence and multiplicity of solutions for resonant nonlinear Neumann problems. Topological Methods in Nonlinear Analysis. Online. 23 April 2010. Vol. 35, no. 2, pp. 235 - 252. [Accessed 4 December 2024].
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