Fractional p()-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity

Title

Fractional p()-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity

Creator

Zuo J.; Soni A.; Choudhuri D.

Description

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. 2022 by the authors. Licensee MDPI, Basel, Switzerland.

Source

Fractal and Fractional, Vol-6, No. 2

Date

2022-01-01

Publisher

MDPI

Subject

Fractional p()-Kirchhoff type; Logarithmic nonlinearity; Nehari manifold; Variable growth

Coverage

Zuo J., School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China; Soni A., School of Sciences, Christ (Deemed to be University), Delhi, 201003, India; Choudhuri D., Department of Mathematics, NIT Rourkela, Rourkela, 769008, India

Rights

All Open Access; Gold Open Access

Relation

ISSN: 25043110

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.3390/fractalfract6020106

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124873494&doi=10.3390%2ffractalfract6020106&partnerID=40&md5=2e479c2766978c8b4beb9817b6e12deb