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arXiv · 1501.00070

On nonlocal nonlinear elliptic problem with the fractional Laplacian

Li Ma
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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 $C^τ(R^n)\bigcap H^α_{loc}(R^n)$. Moreover each of these solutions tends to some positive constant limit at infinity. We extend Lin's result to the nonlocal problem on $R^n$.

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Li Ma. 2014-12-31. On nonlocal nonlinear elliptic problem with the fractional Laplacian. https://arxiv.org/abs/1501.00070

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