On the Existence of Solutions for the Critical Fractional Laplacian Equation in

Zifei Shen and Fashun Gao

Abstract and Applied Analysis, 2014, vol. 2014, 1-10

Abstract:

We study existence of solutions for the fractional Laplacian equation in , , with critical exponent , , , where has a potential well and is a lower order perturbation of the critical power . By employing the variational method, we prove the existence of nontrivial solutions for the equation.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:143741

DOI: 10.1155/2014/143741

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