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math.AP2018
Existence and Nonexistence results for anisotropic p-Laplace equation with singular nonlinearities
Prashanta Garain
Let and consider the following anisotropic -Laplace equation $$ -\sum_{i=1}^{N}\frac{\partial}{\partial x_i}\Big(\Big|\frac{\partial u}{\partial x_i}\Big|^{p_i-2}\fr…
math.AP2018
Properties of solutions to some weighted -Laplacian equation
Prashanta Garain
In this paper, we prove some qualitative properties for the positive solutions to some degenerate elliptic equation given by \[-\operatorname{div}(w|\nabla u|^{p-2}\nabla u)=f(x,u)…
math.AP2018★ 1 cited
On a degenerate singular elliptic problem
Prashanta Garain
In this article we provide existence, uniqueness and regularity results of a degenerate singular elliptic boundary value problem whose prototype is given by \begin{gather*} \begin{…