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arXiv · 2402.09224

Prescribing singularities of weak solutions of a nonlinear elliptic system in the plane

Bogdan Petraszczuk
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Abstract

Inspired by Frehse's [1] 1973 work, we show that his elliptic system $\Delta u = F(u, \nabla u)$ in the plane has bounded weak solutions $u$ with arbitrarily prescribed singular sets.

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Bogdan Petraszczuk. 2024-02-14. Prescribing singularities of weak solutions of a nonlinear elliptic system in the plane. https://arxiv.org/abs/2402.09224

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