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© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.

Abstract

In this paper, we investigate a fractional p(·)-Kirchhoff type problem involving variable exponent logarithmic nonlinearity. With the help of the Nehari manifold approach, the existence and multiplicity of nontrivial weak solutions for the above problem are obtained. The main aspect and challenges of this paper are the presence of double non-local terms and logarithmic nonlinearity.

Details

Title
Fractional p(·)-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity
Author
Zuo, Jiabin 1   VIAFID ORCID Logo  ; Soni, Amita 2 ; Choudhuri, Debajyoti 3   VIAFID ORCID Logo 

 School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China; [email protected] 
 School of Sciences, Christ (Deemed to be University), Delhi 201003, India 
 Department of Mathematics, NIT Rourkela, Rourkela 769008, India; [email protected] 
First page
106
Publication year
2022
Publication date
2022
Publisher
MDPI AG
e-ISSN
25043110
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2632733409
Copyright
© 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.