February 14, 2024Open Access

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

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Abstract

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

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Bogdan Petraszczuk (2024) studied this question.

synapsesocial.com/papers/68e79412b6db6435877052f8 https://doi.org/10.48550/arxiv.2402.09224

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Abstract

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

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

Abstract

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Cite This Study

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

Abstract

Discussion

Cite This Study

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