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Title: Existence of multiple solutions with precise sign information for superlinear Neumann problems
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
Keywords: Neumann problem
Constant sign solutions
Nodal solutions
Second deformation theorem
Linking theorem
Critical groups
Issue Date: 2009
Publisher: Springer Verlag
Abstract: We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator and having a p-superlinear nonlinearity. Using truncation techniques combined with the method of upper–lower solutions and variational arguments based on critical point theory, we prove the existence of five nontrivial smooth solutions, two positive, two negative and one nodal. For the semilinear (i.e., p = 2) problem, using critical groups we produce a second nodal solution.
Peer review: yes
ISSN: 0373-3114
Appears in Collections:DMat - Artigos

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