Multiplicity of solutions to fourth-order superlinear elliptic problems under Navier conditions
Date
2017-07-05
Authors
da Silva, Edcarlos Domingos
Cavalcante, Thiago Rodrigues
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
We establish the existence and multiplicity of solutions for a class of fourth-order superlinear elliptic problems under Navier conditions on the boundary. Here we do not use the Ambrosetti-Rabinowitz condition; instead we assume that the nonlinear term is a nonlinear function which is nonquadratic at infinity.
Description
Keywords
Fourth order elliptic problems, Variational methods, Multiplicity of solutions, Superlinear elliptic problems, Nonquadraticity condition
Citation
da Silva, E. D., & Cavalcante, T. R. (2017). Multiplicity of solutions to fourth-order superlinear elliptic problems under Navier conditions. Electronic Journal of Differential Equations, 2017(167), pp. 1-16.
Rights
Attribution 4.0 International