Mathematics
(Oct 2020)
Generalized Concentration-Compactness Principles for Variable Exponent Lebesgue Spaces with Asymptotic Analysis of Low Energy Extremals
Zia Bashir,
Juan Luis García Guirao,
Adil Siddique,
Tareq Saeed
Affiliations
Zia Bashir
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Juan Luis García Guirao
Departamento de Matemática Aplicada y Estadástica, Universidad Politácnica de Cartagena, 30203 Cartagena, Spain
Adil Siddique
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
Tareq Saeed
Department of Mathematics, Faculty of Science, King Abdulaziz University, 80203, Jeddah 21589, Saudi Arabia
DOI
https://doi.org/10.3390/math8101849
Journal volume & issue
Vol. 8,
no. 10
Abstract
Read online
In this paper, we prove two generalized concentration-compactness principles for variable exponent Lebesgue spaces and as an application study the asymptotic behaviour of low energy extremals.
Keywords
WeChat QR code
Close
