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Discontinuity, Nonlinearity, and Complexity 6(1) (2017) 75--86 | DOI:10.5890/DNC.2017.03.007

Vitali Vougalter$^{1}$, Vitaly Volpert$^{2}$

$^{1}$ Department of Mathematics, University of Toronto, Toronto, Ontario, M5S 2E4, Canada

$^{2}$ Institute Camille Jordan, UMR 5208 CNRS, University Lyon 1, Villeurbanne, 69622, France

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Abstract

We establish the existence of stationary solutions for certain systems of reaction-diffusion equations with superdiffusion. The corresponding elliptic problem involves the operators with or without Fredholm property. The fixed point technique in appropriate H2 spaces of vector functions is employed.

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