Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 95, pp. 1-12.

Title: Nonexistence results for weighted p-Laplace equations
       with singular nonlinearities

Authors: Kaushik Bal      (Indian Institute of Technology, Kanpur, India)
         Prashanta Garain (Indian Institute of Technology, Kanpur, India)
 
Abstract:
 In this article we present some nonexistence results concerning stable
 solutions to the equation
 $$
 \hbox{div}\big(w(x)|\nabla u|^{p-2}\nabla u\big)
 =g(x)f(u)\quad \text{in }\mathbb{R}^N,\;p\geq 2
 $$
 when f(u) is either $u^{-\delta}+u^{-\gamma}$ with $\delta,\gamma>0$
 or  $e^{1/u}$ where w,g are suitable weight functions.

Submitted November 28, 2018. Published July 30, 2019.
Math Subject Classifications: 35A01, 35B93, 35J92.
Key Words: p-Laplacian; nonexistence; stable solution.