WIAS Preprint No. 2115, (2015)

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


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

2010 Mathematics Subject Classification

  • 45A05 47G10 47B34


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




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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