The existence of two nontrivial smooth solutions to a semilinear Robin problem with indefinite unbounded potential and asymmetric nonlinearity f is established. Both crossing and resonance are allowed. A third nonzero solution exists provided f is C^1. Proofs exploit variational methods, truncation techniques, and Morse theory.

Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction

MARANO, Salvatore Angelo;
2016

Abstract

The existence of two nontrivial smooth solutions to a semilinear Robin problem with indefinite unbounded potential and asymmetric nonlinearity f is established. Both crossing and resonance are allowed. A third nonzero solution exists provided f is C^1. Proofs exploit variational methods, truncation techniques, and Morse theory.
Robin problem; Indefinite unbounded potential; Asymmetric crossing nonlinearities
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.11769/18388
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