Please use this identifier to cite or link to this item: http://hdl.handle.net/10773/18704
 Title: Nodal solutions for nonlinear nonhomogeneous Neumann equations Author: Aizicovici, S.Papageorgiou, N. S.Staicu, Vasile Keywords: Positive solutionsNonlinear nonhomogeneous differential op- eratorNonlinear regularityNonlinear maximum principleByfurcation type resultNodal 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 URI: http://hdl.handle.net/10773/18704 ISSN: 1230-3429 Publisher Version: https://www.tmna.ncu.pl/static/archives/vol-43-2.html Appears in Collections: CIDMA - ArtigosFAAG - Artigos

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