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arXiv · 1506.02391

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

Giuseppina D'Aguì·Salvatore A. Marano·Nikolaos S. Papageorgiou
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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.

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Giuseppina D'Aguì, Salvatore A. Marano, Nikolaos S. Papageorgiou. 2015-06-08. Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction. https://arxiv.org/abs/1506.02391

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