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|Title:||Periodic problems with a reaction of arbitrary growth|
Papageorgiou, N. S.
|Keywords:||Constant sign and nodal solutions|
|Abstract:||We consider nonlinear periodic equations driven by the scalar p-Laplacian and with a Carath eodory reaction which does not satisfy a global growth condition. Using truncation-perurbation techniques, variational methods and Morse theory, we prove a "three solutions theorem", providing sign information for all the solutions. In the semilinear case (p = 2), we produce a second nodal solution, for a total of four nontrivial solutions. We also cover problems which are resonant at zero.|
|Appears in Collections:||CIDMA - Artigos|
FAAG - Artigos
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|P69_JNCA_16(2015)_985-1011.pdf||artigo original||162.86 kB||Adobe PDF||View/Open|
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