Abstract
We consider a class of two-dimensional free boundary problems of type $div(a(X) \nabla u) = -div(\chi (u)H(X))$, where $H$ is a Lipschitz vector function satisfying $div(H(X))\geq 0$. We prove that the free boundary $\partial [u>0] \cap\Omega$ is represented locally by a family of continuous functions.
Citation
S. Challal. A. Lyaghfouri. "On a class of free boundary problems of type $div(a(X) \nabla u) = -div(\chi (u)H(X))$." Differential Integral Equations 19 (5) 481 - 516, 2006. https://doi.org/10.57262/die/1356050439
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