The existence of at least three nontrivial solutions to a semilinear Robin problem with indefinite potential and asymmetric nonlinearity super-linear at plus infinity is established. Both crossing and resonance are allowed. Proofs exploit variational methods, truncation techniques, and Morse theory.

On a Robin problem with indefinite weight and asymmetric reaction superlineat at plus infinity

MARANO, Salvatore Angelo;
2016-01-01

Abstract

The existence of at least three nontrivial solutions to a semilinear Robin problem with indefinite potential and asymmetric nonlinearity super-linear at plus infinity is established. Both crossing and resonance are allowed. Proofs exploit variational methods, truncation techniques, and Morse theory.
2016
Robin problem; Indefinite potential; Asymmetric reaction
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/38085
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