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|Title:||Nodal and multiple solutions for nonlinear periodic problems with competing nonlinearities|
Papageorgiou, N. S.
|Keywords:||Nonhomogeneous differential operator|
Nonlinear strong maximum principle
Concave and convex nonlinearities
Multiple and nodal solutions
|Abstract:||We consider a nonlinear periodic problem drive driven by a nonhomogeneous differential operator which incorporates as a special case the scalar p-Laplacian, and a reaction which exhibits the competition of concave and convex terms. Using variational methods based on critical point theory, together with suitable truncation techniques and Morse theory (critical groups), we establish the existence of five nontrivial solutions, two positive, two negative and the fifth nodal (sign-changing). In the process, we also prove some auxiliary results of independent interest.|
|Appears in Collections:||CIDMA - Artigos|
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|APSPaper_CCM_15(2013)_1350001.pdf||Documento principal||386.89 kB||Adobe PDF|
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