On nonlocal nonlinear elliptic problem with the fractional Laplacian

Abstract

In this paper, we study a nonlocal elliptic problem with the fractional Laplacian on $R^n$. We show that the problem has infinite positive solutions in $C^{\tau }(R^n)\bigcap H_{loc}^{\alpha }(R^n)$. Moreover each of these solutions tends to some positive constant limit at infinity. We extend Lin's result to the nonlocal problem on $R^n$.

3 pages

Cited by in corpus (1)

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