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Three Weak Solutions for Nonlocal Fractional Laplacian Equations

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  • Dandan Yang
  • Chuanzhi Bai

Abstract

The existence of three weak solutions for the following nonlocal fractional equation in in is investigated, where is fixed, is the fractional Laplace operator, and are real parameters, is an open bounded subset of , , and the function satisfies some regularity and natural growth conditions. The approach is based on a three-critical-point theorem for differential functionals.

Suggested Citation

  • Dandan Yang & Chuanzhi Bai, 2014. "Three Weak Solutions for Nonlocal Fractional Laplacian Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, January.
    • Handle: RePEc:hin:jnlaaa:809769
    DOI: 10.1155/2014/809769
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