Ghasem A. Afrouzi, Nguyen Thanh Chung, Zohreh Naghizadeh
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].
Submitted May 11, 2021. Published March 25, 2022.
Math Subject Classifications: 35J70, 35J60, 35D05.
Key Words: p(x)-Kirchhoff type problems; Robin boundary conditions; variational methods.
DOI: https://doi.org/10.58997/ejde.2022.24
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Ghasem A. Afrouzi Department of Mathematics Faculty of Mathematical Sciences University of Mazandaran, Babolsar, Iran email: afrouzi@umz.ac.ir |
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Nguyen Thanh Chung Department of Mathematics Quang Binh University 312 Ly Thuong Kiet Dong Hoi, Quang Binh, Vietnam email: ntchung82@yahoo.com |
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Zohreh Naghizadeh Faculty of Sciences Department of Mathematics University of Science and Technology of Mazandaran P.O. Box 48518-78195, Behshahr, Iran email: z.naghizadeh@mazust.ac.ir |
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