On a Dirichlet problem with -Laplacian and asymmetric nonlinearity
Salvatore A. Marano
Università degli Studi di Catania, ItalyNikolaos S. Papageorgiou
National Technical University of Athens, Greece
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Abstract
The existence of at least two nonnegative smooth solutions to a homogeneous Dirichlet problem with -Laplacian and reaction (–1)-linear, but asymmetric, at ± is investigated through variational and truncation techniques. The case is separately examined, obtaining a third nontrivial smooth solution via Morse’s theory.
Cite this article
Salvatore A. Marano, Nikolaos S. Papageorgiou, On a Dirichlet problem with -Laplacian and asymmetric nonlinearity. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 26 (2015), no. 1, pp. 57–74
DOI 10.4171/RLM/692