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 On a p-Superlinear Neumann p-Laplacian equation
Please use this identifier to cite or link to this item http://hdl.handle.net/10773/5266

title: On a p-Superlinear Neumann p-Laplacian equation
authors: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
issue date: 2009
publisher: Juliusz Schauder University Centre
abstract: We consider a nonlinear Neumann problem, driven by the p- Laplacian, and with a nonlinearity which exhibits a p-superlinear growth near infinity, but does not necessarily satisfy the Ambrosetti–Rabinowitz condition. Using variational methods based on critical point theory, together with suitable truncation techniques and Morse theory, we show that the problem has at least three nontrivial solutions, of which two have a fixed sign (one positive and the other negative).
URI: http://hdl.handle.net/10773/5266
ISSN: 1230-3429
publisher version/DOI: http://www.tmna.ncu.pl/
source: Topological Methods in Nonlinear Analysis
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