On a class of weighted anisotropic $p$-Laplace equation with singular nonlinearity
Analysis of PDEs
2021-12-28 v1
Abstract
We consider a class of singular weighted anisotropic -Laplace equations. We provide sufficient condition on the weight function that may vanish or blow up near the origin to ensure the existence of at least one weak solution in the purely singular case and at least two different weak solutions in the purturbed singular case.
Keywords
Cite
@article{arxiv.2112.13294,
title = {On a class of weighted anisotropic $p$-Laplace equation with singular nonlinearity},
author = {Prashanta Garain},
journal= {arXiv preprint arXiv:2112.13294},
year = {2021}
}
Comments
20 pages, comments are welcome