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On a Robin problem with $p$-Laplacian and reaction bounded only from above by Marano, Salvatore A.; Papageorgiou, Nikolaos S. is a scholarly article available to read on EtoBox.

What is On a Robin problem with $p$-Laplacian and reaction bounded only from above about?

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.

Author

Marano, Salvatore A.; Papageorgiou, Nikolaos S.

Published

2014

Language

EN