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;
2016-01-01
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.File in questo prodotto:
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