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2019 Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p-Laplacian of Order s
M. Khiddi
Abstr. Appl. Anal. 2019: 1-6 (2019). DOI: 10.1155/2019/6091236

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.

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M. Khiddi. "Multiple of Solutions for Nonlocal Elliptic Equations with Critical Exponent Driven by the Fractional p-Laplacian of Order s." Abstr. Appl. Anal. 2019 1 - 6, 2019. https://doi.org/10.1155/2019/6091236

Information

Received: 10 March 2019; Accepted: 16 May 2019; Published: 2019
First available in Project Euclid: 24 July 2019

zbMATH: 07095595
MathSciNet: MR3960305
Digital Object Identifier: 10.1155/2019/6091236

Rights: Copyright © 2019 Hindawi

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