Fractional p()-Kirchhoff Type Problems Involving Variable Exponent Logarithmic Nonlinearity
Fractional p()-Kirchhoff type; Logarithmic nonlinearity; Nehari manifold; Variable growth
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.
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
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