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

M. Khiddi ()

Abstract and Applied Analysis, 2019, vol. 2019, 1-6

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

Date: 2019
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DOI: 10.1155/2019/6091236

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Handle: RePEc:hin:jnlaaa:6091236