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Title: Nodal solutions for nonlinear nonhomogeneous Neumann equations
Author: Aizicovici, S.
Papageorgiou, N. S.
Staicu, Vasile
Keywords: Positive solutions
Nonlinear nonhomogeneous differential op- erator
Nonlinear regularity
Nonlinear maximum principle
Byfurcation type result
Nodal solutions
Issue Date: 2014
Publisher: Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies
Abstract: We consider a nonlinear Neumann problem driven by a nonhomogeneous differential operator with a Caratheodory reaction which is $(p-1)$-sublinear near $\pm\infty$. Using variational tools we show that the problem has at least three nontrivial smooth solutions (one positive, one negative and a third nodal). Our formulation unifies problems driven by the $p$-Laplacian, the $(p,q) $ Laplacian and the $p$-generalized mean curvature operator.
Peer review: yes
ISSN: 1230-3429
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Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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