Existence of Solutions for a Fractional Laplacian Equation with Critical Nonlinearity

Zifei Shen and Fashun Gao

Abstract and Applied Analysis, 2013, vol. 2013, 1-9

Abstract:

We study the fractional Laplacian equation , , here , , is the critical exponent, and is a real potential function. Employing the variational method we prove the existence of nontrivial solutions for small and large.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:638425

DOI: 10.1155/2013/638425

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