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2014 Three Weak Solutions for Nonlocal Fractional Laplacian Equations
Dandan Yang, Chuanzhi Bai
Abstr. Appl. Anal. 2014: 1-7 (2014). DOI: 10.1155/2014/809769

Abstract

The existence of three weak solutions for the following nonlocal fractional equation (-Δ)su-λu=μf(x,u) in Ω,u=0 in nΩ, is investigated, where s(0,1) is fixed, (-Δ)s is the fractional Laplace operator, λ and μ are real parameters, Ω is an open bounded subset of n, n>2s, and the function f satisfies some regularity and natural growth conditions. The approach is based on a three-critical-point theorem for differential functionals.

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Dandan Yang. Chuanzhi Bai. "Three Weak Solutions for Nonlocal Fractional Laplacian Equations." Abstr. Appl. Anal. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/809769

Information

Published: 2014
First available in Project Euclid: 26 March 2014

zbMATH: 07023122
MathSciNet: MR3166658
Digital Object Identifier: 10.1155/2014/809769

Rights: Copyright © 2014 Hindawi

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