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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Zia Bashir & Juan Luis García Guirao & Adil Siddique & Tareq Saeed, 2020. "Generalized Concentration-Compactness Principles for Variable Exponent Lebesgue Spaces with Asymptotic Analysis of Low Energy Extremals," Mathematics, MDPI, vol. 8(10), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1849-:d:431780
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