Foliated Schwarz symmetry of solutions to a cooperative system of equations involving nonlocal operators

Antonio Greco; Sven Jarohs

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arXiv · 1910.07184

Foliated Schwarz symmetry of solutions to a cooperative system of equations involving nonlocal operators

Antonio Greco·Sven Jarohs

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Abstract

In this paper, we prove foliated Schwarz symmetry of solutions to a cooperatively coupled system of equations involving nonlocal operators. Here, the class of nonlocal operators covers in particular the case of the fractional Laplacian. Moreover, we give an explicit example of a nonlocal nonlinear system, in which our result can be applied.

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Antonio Greco, Sven Jarohs. 2019-10-16. Foliated Schwarz symmetry of solutions to a cooperative system of equations involving nonlocal operators. https://arxiv.org/abs/1910.07184

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