On a degenerate singular elliptic problem
Analysis of PDEs
2021-09-13 v3
Abstract
In this article we provide existence, uniqueness and regularity results of a degenerate singular elliptic boundary value problem whose prototype is given by \begin{gather*} \begin{cases} -\operatorname{div}(w(x)|\nabla u|^{p-2}\nabla u)=\frac{f(x)}{u^\delta}\,\,\text{ in }\,\,\Omega, u>0\text{ in }\Omega,\\ u = 0 \text{ on } \partial\Omega, \end{cases} \end{gather*} where is a bounded smooth domain in with , belong to the Muckenhoupt class for some , is a nonnegative function belong to some Lebesgue space and .
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Cite
@article{arxiv.1803.02102,
title = {On a degenerate singular elliptic problem},
author = {Prashanta Garain},
journal= {arXiv preprint arXiv:1803.02102},
year = {2021}
}
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24 pages