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Khiddi, M.

Multiple of solutions for nonlocal elliptic equations with critical exponent driven by the Fractional \(p\)-Laplacian of order \(s\). (English) Zbl 1474.35656

Abstr. Appl. Anal. 2019, Article ID 6091236, 6 p. (2019).
Summary: 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 \(\lambda > 0\) is small enough. We achieve our goal by making use of variational methods, more specifically, the Nehari Manifold and Lusternik-Schnirelmann theory.

Cited in 2 Documents

MSC:

35R11 Fractional partial differential equations
35A15 Variational methods applied to PDEs
35B33 Critical exponents in context of PDEs
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References:

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