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Title: Periodic problems with a reaction of arbitrary growth
Author: Aizicovici, S.
Papageorgiou, N. S.
Staicu, Vasile
Keywords: Constant sign and nodal solutions
Critical groups
Homotopy invariance
Nonconstant zeros
Issue Date: 2015
Publisher: Yokohama Publishers
Abstract: We consider nonlinear periodic equations driven by the scalar p-Laplacian and with a Carath eodory reaction which does not satisfy a global growth condition. Using truncation-perurbation techniques, variational methods and Morse theory, we prove a "three solutions theorem", providing sign information for all the solutions. In the semilinear case (p = 2), we produce a second nodal solution, for a total of four nontrivial solutions. We also cover problems which are resonant at zero.
Peer review: yes
ISSN: 1345-4773
Publisher Version:
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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