On a Dirichlet problem with -Laplacian and asymmetric nonlinearity

  • Salvatore A. Marano

    Università degli Studi di Catania, Italy
  • Nikolaos S. Papageorgiou

    National Technical University of Athens, Greece


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