Existence of stationary solutions is shown for integro-differential systems with diffusion given by the difference of Laplacian and bi-Laplacian operators via fixed-point methods and solvability conditions for non-Fredholm elliptic operators on unbounded domains.
Benkirane,Propri ´et´es d’indice en th´eorie h¨olderienne pour des op´erateurs elliptiques dansR n, C
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Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators
Existence of stationary solutions is shown for integro-differential systems with diffusion given by the difference of Laplacian and bi-Laplacian operators via fixed-point methods and solvability conditions for non-Fredholm elliptic operators on unbounded domains.