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Title: Semilinear neumann equations with indefinite and unbounded potential
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos S.
Staicu, Vasile
Keywords: Indefinite and unbounded potential
Critical goups
Multiple solutions
Regularity theory
Maximum principle
Nodal solutions
Issue Date: 2016
Publisher: University of Houston
Abstract: We consider a semilinear Neumann problem with an indefinite and unbounded potential, and a Carathéodory reaction term. Under asymptotic conditions on the reaction which make the energy functional coercive, we prove multiplicity theorems producing three or four solutions with sign information on them. Our approach combines variational methods based on the critical point theory with suitable perturbation and truncation techniques, and with Morse theory.
Peer review: yes
ISSN: 0362-1588
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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