Salvatore A. Marano, Nikolaos S. Papageorgiou
Abstract:
Four nontrivial smooth solutions to a Robin boundary-value problem with
p-Laplacian, indefinite potential, and asymmetric nonlinearity super-linear
at infinity are obtained, all with sign information.
The semilinear case is also investigated, producing a nonzero fifth solution.
Our proofs use variational methods, truncation techniques, and Morse theory.
Submitted June 2, 2018. Published June 18, 2018.
Math Subject Classifications: 35J20, 35J60, 58E05.
Key Words: Robin boundary condition; p-Laplacian; indefinite potential;
asymmetric reaction; superlinear at infinity; resonance;
multiple solutions
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Salvatore A. Marano Department of Mathematics and Computer Sciences University of Catania Viale A. Doria 6, 95125 Catania, Italy email: marano@dmi.unict.it |
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| Nikolaos S. Papageorgiou Department of Mathematics National Technical University of Athens Zografou Campus, Athens 15780, Greece email: npapg@math.ntua.gr |
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