Multiplicity of solutions to an elliptic problem with singularity and measure data
Analysis of PDEs
2021-08-26 v2
Abstract
In this paper, we prove the existence of multiple nontrivial solutions of the following equation. \begin{align*} \begin{split} -\Delta_{p}u & = \frac{\lambda}{u^{\gamma}}+g(u)+\mu~\mbox{in}\,\,\Omega, u & = 0\,\, \mbox{on}\,\, \partial\Omega, u&>0 \,\,\mbox{in}\,\,\Omega, \end{split} \end{align*} where is a smooth bounded domain with , , , , satisfies certain conditions, is a bounded Radon measure.
Keywords
Cite
@article{arxiv.1804.05590,
title = {Multiplicity of solutions to an elliptic problem with singularity and measure data},
author = {S. Ghosh and A. Panda and D. Choudhuri},
journal= {arXiv preprint arXiv:1804.05590},
year = {2021}
}
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24 Pages