Multiplicity results for some fourth-order elliptic equations with combined nonlinearities

In this paper, we regard with some fourth-order elliptic boundary value problems involving subcritical polynomial growth and subcritical (critical) exponential growth. Some new existence and multiplicity results are established by using variational methods combined Adams inequality.

Bibliographic Details
Published in:AIMS Mathematics
Main Authors: Ruichang Pei, Hongming Xia
Format: Article
Language:English
Published: AIMS Press 2023-04-01
Subjects:
fourth-order elliptic navier boundary value problem
the variational method
adams inequality
subcritical and critical exponential growth
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023752?viewType=HTML
Description
Summary:In this paper, we regard with some fourth-order elliptic boundary value problems involving subcritical polynomial growth and subcritical (critical) exponential growth. Some new existence and multiplicity results are established by using variational methods combined Adams inequality.
ISSN:2473-6988

Similar Items