Multiple solutions for p(x)-Kirchhoff type problems with Robin boundary conditions

Date

2022-03-25

Authors

Afrouzi, Ghasem Alizadeh
Chung, Nguyen Thanh
Naghizadeh, Zohreh

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

This article considers p(x)-Kirchhoff type problems with Robin boundary conditions. Using the mountain pass theorem, the Ekeland's variational principle, and Krasnoselskii's genus theory, we prove that the problem has at least two nontrivial weak solutions or infinitely many nontrivial weak solutions under some suitable conditions on the nonlinearities. The main results improve and generalize the previous ones introduced in [2,7].

Description

Keywords

p(x)-Kirchhoff type problems, Robin boundary conditions, Variational methods

Citation

Afrouzi, G. A., Chung, N. T., & Naghizadeh, Z. (2022). Multiple solutions for p(x)-Kirchhoff type problems with Robin boundary conditions. <i>Electronic Journal of Differential Equations, 2022</i>(24), pp. 1-16.

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Attribution 4.0 International

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