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

Citation
Da Silva, Edcarlos Domingos et De Paiva, Francisco Odair, Landesman-lazer type conditions and multiplicity results for nonlinear elliptic problems with neumann boundary values, Acta mathematica Sinica. English series (Print) , 30(2), 2014, pp. 229-250
ISSN journal
14398516
Volume
30
Issue
2
Year of publication
2014
Pages
229 - 250
Database
ACNP
SICI code
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.