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arXiv · 2604.24327

Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators

Vitali Vougalter·Vitaly Volpert
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Abstract

The article is devoted to the solvability of a system of integro-differential equations in the case of the difference of the standard Laplacian and the bi-Laplacian in the diffusion terms. The proof of the existence of solutions is based on a fixed point technique. We use the solvability conditions for the elliptic operators without the Fredholm property in unbounded domains.

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Vitali Vougalter, Vitaly Volpert. 2026-04-27. Existence of stationary solutions for some systems of integro-differential equations with Laplace and bi-Laplace operators. https://arxiv.org/abs/2604.24327

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