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

Autor: Petraszczuk, Bogdan
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 8 pages
Databáze: arXiv