Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation

Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation

In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.

Bibliographic Details
Main Authors: Lin Li, Donal O’Regan
Format: Article
Language:English
Published: Vilnius University Press 2021-03-01
Series:Nonlinear Analysis
Subjects:
critical growth
biharmonic operator
variational methods
local minimum
Online Access:https://www.journals.vu.lt/nonlinear-analysis/article/view/20564
Description
Summary:In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.
ISSN:1392-5113
2335-8963

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