Abstract
For a bounded, open set $\Omega\subset\mathbb{R}^N$ and depending on $\lambda>0$, we study the multiplicity of solutions of \begin{equation*} \begin{cases} u>0 \text{ in }\;\Omega\;, \\ -\div (M(x)\nabla u)=\frac{\lambda}{\;u^\gamma\;}+ u^{p} \text{ in }\;\Omega, \\ u=0 \text{ on }\;\partial\Omega, \end{cases} \end{equation*} where $M(x)$ is a symmetric, bounded, and elliptic matrix and $0 <\gamma <1 <p <\frac{N+2}{N-2}$.
Citation
David Arcoya. Lucio Boccardo. "Multiplicity of solutions for a Dirichlet problem with a singular and a supercritical nonlinearities." Differential Integral Equations 26 (1/2) 119 - 128, January/February 2013. https://doi.org/10.57262/die/1355867509
Information