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Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction
Published 8 Jun 2015 in math.AP | (1506.02391v1)
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 $C1$. Proofs exploit variational methods, truncation techniques, and Morse theory.
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