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 On resonant Neumann problems: Multiplicity of solutions
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/6597

title: On resonant Neumann problems: Multiplicity of solutions
authors: Papageorgiou, Nikolaos S.
Santos Coelho Rodrigues, Ana Isabel
Staicu, Vasile
keywords: Asymptotically linear problem
Resonant problems
Reduction technique
issue date: Dec-2011
publisher: Elsevier
abstract: We consider a semilinear Neumann problem with an asymptotically linear reaction term. We assume that resonance occurs at infinity. Using variational methods based on the critical point theory, together with the reduction technique and Morse theory, we show that the problem has at least four nontrivial smooth solutions.
URI: http://hdl.handle.net/10773/6597
ISSN: 0362-546X
publisher version/DOI: http://dx.doi.org/10.1016/j.na.2011.06.031
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