Existence and Multiplicity of Solutions for a Biharmonic Equation with p(x)-Kirchhoff Type-Reference-Cited by-同舟云学术

Existence and Multiplicity of Solutions for a Biharmonic Equation with p(x)-Kirchhoff Type

Published:2021-12-02 Issue: Volume:2021 Page:1-8
ISSN:1607-887X
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Zhang Qi¹,Miao Qing¹^ORCID

Affiliation:

1. School of Mathematics and Computer Science, Yunnan Minzu University, Kunming, China

Abstract

Based on the basic theory and critical point theory of variable exponential Lebesgue Sobolev space, this paper investigates the existence and multiplicity of solutions for a class of nonlocal elliptic equations with Navier boundary value conditions when (AR) condition does not hold and improves or generalizes the original conclusions.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2021/8454755.pdf

Reference26 articles.

1. On a Kirchhoff Singular $p(x)$-Biharmonic Problem with Navier Boundary Conditions

2. Existence of solutions for a p(x)-Kirchhoff-type equation

3. Infinitely Many Solutions for Some Fourth Order Elliptic Equations of p(x)-Kirchhoff Type

4. Existence of strong solutions of ap(x)-Laplacian Dirichlet problem without the Ambrosetti–Rabinowitz condition

5. On the existence of solutions for a class of fourth order elliptic equations of Kirchhoff type with variable exponent

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