1Institute of Mathematics School of Mathematics Science Nanjing Normal University Nanjing 210046, Jiangsu, China 2Institute of Mathematics School of Mathematics Science Nanjing Normal University Nanjing 210046, Jiangsu, China and College of Zhongbei Nanjing Normal University Nanjing 210046, Jiangsu, China
Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 231-240
We study the existence of positive solutions to
$$
\cases{\mathop{\rm div} ({|\nabla{u}|^{p-2}
\nabla{u}})+q(x)u^{-{\gamma}}=0\hbox{on }{\mit\Omega},\cr
u=0\hbox{on }\partial{\mit\Omega},}
$$
where ${\mit\Omega}$ is $\mathbb{R}^N$ or an unbounded domain, $q(x)$ is
locally Hölder continuous on ${\mit\Omega}$ and $ p>1$, $\gamma>-(p-1)$.
Keywords:
study existence positive solutions cases mathop div nabla p nabla gamma hbox mit omega hbox partial mit omega where mit omega mathbb unbounded domain locally lder continuous mit omega gamma p
Affiliations des auteurs :
Lin Wei
1
;
Zuodong Yang
2
1
Institute of Mathematics School of Mathematics Science Nanjing Normal University Nanjing 210046, Jiangsu, China
2
Institute of Mathematics School of Mathematics Science Nanjing Normal University Nanjing 210046, Jiangsu, China and College of Zhongbei Nanjing Normal University Nanjing 210046, Jiangsu, China
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author = {Lin Wei and Zuodong Yang},
title = {Solutions to a class of singular quasilinear elliptic equations},
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Lin Wei; Zuodong Yang. Solutions to a class of singular quasilinear elliptic equations. Annales Polonici Mathematici, Tome 98 (2010) no. 3, pp. 231-240. doi: 10.4064/ap98-3-3
