Weak positive solutions to singular quasilinear elliptic equation
Chouhaïd Souissi, M. Hsini, N. Irzi, Wakaa Ali Hadba
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Abstract
In this paper, we study the existence of multiple solutions for the
singular problem
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\left\{\begin{aligned} \displaystyle{}a(x,u,\nabla u)-{\rm div}(b(x,u,\nabla u%
))&\displaystyle=u^{-\alpha}+\lambda c(x,u)&&\displaystyle\phantom{}\text{in }%
\Omega,\\
\displaystyle u&\displaystyle>0&&\displaystyle\phantom{}\text{in }\Omega,\\
\displaystyle u&\displaystyle=0&&\displaystyle\phantom{}\text{on }{\mathbb{R}}%
^{n}\setminus\Omega,\end{aligned}\right.
where
Ω
⊂
奇异准线性椭圆方程的弱正解
在本文中，我们研究了存在多解的奇异问题 { a ( x , u ,∇ u ) - div ( b ( x , u ,∇ u ) ) = u - α + λ c ( x , u ) in Ω , u > 0
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