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Title: On resonant Neumann problems: Multiplicity of solutions
Author: 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.
Peer review: yes
DOI: 10.1016/
ISSN: 0362-546X
Appears in Collections:DMat - Artigos

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