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.
Rights
Attribution 4.0 International