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arXiv · 1501.00152

On a Robin problem with $p$-Laplacian and reaction bounded only from above

Salvatore A. Marano·Nikolaos S. Papageorgiou
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Abstract

The existence of three smooth solutions, one negative, one positive, and one nodal, to a homogeneous Robin problem with $p$-Laplacian and Carath\'eodory reaction is established. No sub-critical growth condition is taken on. Proofs exploit variational as well as truncation techniques. The case $p=2$ is separately examined, obtaining a further nodal solution via Morse's theory.

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Salvatore A. Marano, Nikolaos S. Papageorgiou. 2014-12-31. On a Robin problem with $p$-Laplacian and reaction bounded only from above. https://arxiv.org/abs/1501.00152

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