Constant sign and nodal solutions for a class of nonlinear Dirichlet problems

We consider a nonlinear Dirichlet problem with a Carathéodory reaction which has arbitrary growth from below. We show that the problem has at least three nontrivial smooth solutions, two of constant sign and the third nodal. In the semilinear case (i.e., p =2), with the reaction f(z, .)being C1and w...

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Bibliographic Details
Main Author: Papageorgiou, N. S. (author)
Other Authors: Santos, S. R. Andrade (author), Staicu, V. (author)
Format: article
Language:eng
Published: 2016
Subjects:
Mountain pass theorem
Second deformation theorem
Eigenvalues of p-Laplacian
Critical groups
Constant sign and nodal solutions
Extremal solutions
Online Access:http://hdl.handle.net/10773/14982
Country:Portugal
Oai:oai:ria.ua.pt:10773/14982

Internet

http://hdl.handle.net/10773/14982

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