Three nontrivial solutions for the p-Laplacian Neumann problems with a concave nonlinearity near the origin

We consider a nonlinear Neumann problem driven by the p- Laplacian, with a right-hand side nonlinearity which is concave near the origin. Using variational techniques, combined with the method of upper-lower solutions and with Morse theory, we show that the problem has at least three nontrivial smoo...

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Bibliographic Details
Main Author: Aizicovici, Sergiu (author)
Other Authors: Papageorgiou, Nikolaos (author), Staicu, Vasile (author)
Format: bookPart
Language:eng
Published: 2012
Subjects:
P-Laplacian
Concave nonlinearity
Critical groups
Poincarè-Hopf formula
Local minimizer
Online Access:http://hdl.handle.net/10773/5373
Country:Portugal
Oai:oai:ria.ua.pt:10773/5373

Internet

http://hdl.handle.net/10773/5373

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