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Title: Existence and multiplicity of solutions for resonant nonlinear Neumann problems
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
Issue Date: 2010
Publisher: Juliusz Schauder University Centre
Abstract: We consider nonlinear Neumann problems driven by the pLaplacian differential operator with a Caratheodory nonlinearity. Under hypotheses which allow resonance with respect to the principal eigenvalue λ0 = 0 at ±∞, we prove existence and multiplicity results. Our approach is variational and uses critical point theory and Morse theory (critical groups).
Peer review: yes
ISSN: 1230-3429
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