WIAS Preprint No. 2115, (2015)

A one-dimensional symmetry result for solutions of an integral equation of convolution type



Authors

  • Hamel, François
  • Valdinoci, Enrico
    ORCID: 0000-0001-6222-2272

2010 Mathematics Subject Classification

  • 45A05 47G10 47B34

Keywords

  • Integral operators, convolution kernels, one-dimensional symmetry, De Giorgi Conjecture

DOI

10.20347/WIAS.PREPRINT.2115

Abstract

We consider an integral equation in the plane, in which the leading operator is of convolution type, and we prove that monotone (or stable) solutions are necessarily one-dimensiona.l

Appeared in

  • Ann. Inst. H. Poincare Anal. Non Lineaire 34 (2017) pp. 469--482, added authors, changed title: A one-dimensional symmetry result for a class of nonlocal semilinear equations in the plane.

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