New multiple positive solutions for elliptic equations with singularity and critical growth

In this note, the existence of multiple positive solutions is established for a semilinear elliptic equation $ -\Delta u=\frac{\lambda}{u^\gamma}+u^{2^*-1},~x\in\Omega,~u=0, x\in\partial\Omega$, where $\Omega$ is a smooth bounded domain in $\mathbb{R}^N$ ($N\geq3$), $2^*=\frac{2N}{N-2}$, $\gamma\in(...

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Bibliographic Details
Main Authors: Hongmin Suo, Chunyu Lei, Jia-Feng Liao
Format: Article
Language:English
Published: University of Szeged 2019-03-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=7361