A multiplicity theorem for anisotropic Robin equations

  • Nikolaos S. Papageorgiou

    National Technical University of Athens, Greece
  • Patrick Winkert

    Technische Universität Berlin, Germany
A multiplicity theorem for anisotropic Robin equations cover
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Abstract

In this paper, we consider an anisotropic Robin problem driven by the -Laplacian and a superlinear reaction. Applying variational tools along with truncation and comparison techniques as well as critical groups, we prove that the problem has at least five nontrivial smooth solutions to be ordered and with sign information: two positive, two negative, and the fifth nodal.

Cite this article

Nikolaos S. Papageorgiou, Patrick Winkert, A multiplicity theorem for anisotropic Robin equations. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 1, pp. 1–22

DOI 10.4171/RLM/961