Generalized Concentration-Compactness Principles for Variable Exponent Lebesgue Spaces with Asymptotic Analysis of Low Energy Extremals

Zia Bashir, Juan Luis García Guirao, Adil Siddique and Tareq Saeed
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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

Mathematics, 2020, vol. 8, issue 10, 1-15

Abstract: 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: p ( x )-Laplacian problem; concentration compactness; low energy extremals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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