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Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values

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Abstract

We establish the existence and multiplicity of solutions for Steklov problems under nonresonance or resonance conditions using variational methods. In our main theorems, we consider a weighted eigenvalue problem of Steklov type.

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Authors and Affiliations

  1. Departamento de Matemáatica, Universidade Federal de Goiás, Caixa Postal 131, CEP: 74001-970, Goiânia — GO, Brazil

    Edcarlos Domingos Da Silva

  2. Departamento de Matemática, Universidade Federal de São Carlos, Caixa Postal 676, CEP: 13565-905, São Carlos — SP, Brazil

    Francisco Odair De Paiva

Authors
  1. Edcarlos Domingos Da Silva
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  2. Francisco Odair De Paiva
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Correspondence to Edcarlos Domingos Da Silva.

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The first author is partially supported by CNPq-Procad

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Da Silva, E.D., De Paiva, F.O. Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values. Acta. Math. Sin.-English Ser. 30, 229–250 (2014). https://doi.org/10.1007/s10114-014-2750-2

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  • DOI: https://doi.org/10.1007/s10114-014-2750-2

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