Small perturbation solutions for nonlocal elliptic equations |
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Authors: | Hui Yu |
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Institution: | 1. Department of Mathematics, The University of Texas at Austin, Austin, TX, USAhyu@math.utexas.edu |
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Abstract: | We present a small perturbation result for nonlocal elliptic equations, which says that for a class of nonlocal operators, the solutions are in Cσ+α for any α∈(0,1) as long as the solutions are small. This is a nonlocal generalization of a celebrated result of Savin in the case of second order equations. |
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Keywords: | Classical solutions elliptic equations nonlocal equations small perturbation |
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