Elliptic Partial Differential Equation Involving a Singularity and a Radon measure
Analysis of PDEs
2019-07-10 v4
Abstract
The aim of this paper is to prove the existence of solution for a partial differential equation involving a singularity with a general nonnegative, Radon measure as its nonhomogenous term which is given as \begin{eqnarray} -\Delta u&=& f(x)h(u)+\mu~\text{in}~\Omega,\nonumber u&=&0~\text{on}~\partial\Omega,\nonumber u&>& 0~\text{on}~\Omega\nonumber, \end{eqnarray} where is a bounded domain of , is a nonnegative function over .
Keywords
Cite
@article{arxiv.1709.00905,
title = {Elliptic Partial Differential Equation Involving a Singularity and a Radon measure},
author = {A. Panda and S. Ghosh and D. Choudhuri},
journal= {arXiv preprint arXiv:1709.00905},
year = {2019}
}
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21 Pages