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Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p‐Laplacian of Order s

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  • M. Khiddi

Abstract

In this paper, we study the existence of infinitely many weak solutions for nonlocal elliptic equations with critical exponent driven by the fractional p‐Laplacian of order s. We show the above result when λ > 0 is small enough. We achieve our goal by making use of variational methods, more specifically, the Nehari Manifold and Lusternik‐Schnirelmann theory.

Suggested Citation

  • M. Khiddi, 2019. "Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p‐Laplacian of Order s," Abstract and Applied Analysis, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlaaa:v:2019:y:2019:i:1:n:6091236
    DOI: 10.1155/2019/6091236
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    References listed on IDEAS

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    1. Kanishka Perera & Marco Squassina & Yang Yang, 2016. "Bifurcation and multiplicity results for critical fractional p-Laplacian problems," Mathematische Nachrichten, Wiley Blackwell, vol. 289(2-3), pages 332-342, February.
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