On a Singular Logistic Equation with the -Laplacian
Dang Dinh Hai
Mississippi State University, USA

Abstract
We prove the existence and nonexistence of positive solutions for the boundary value problems%
\[ \left\{ \begin{alignedat}{2} -\Delta _{p}u&= g(x,u)-\frac{h(x)}{u^{\alpha }}&\quad &\text{in }\Omega \\ u&= 0&&\text{on }\partial \Omega ,% \end{alignedat}% \right. \]% where is a bounded domain in with smooth boundary , is possibly singular at \( 0.\ \) An application to a singular logistic-like equation is given.
Cite this article
Dang Dinh Hai, On a Singular Logistic Equation with the -Laplacian. Z. Anal. Anwend. 32 (2013), no. 3, pp. 339–348
DOI 10.4171/ZAA/1488