A Positive Solution for a Weighted p-Laplace Equation with Hardy–Sobolev's Critical Exponent

A Razani, GS Costa, GM Figueiredo - Bulletin of the Malaysian …, 2024 - Springer
Abstract Here, considering-∞< a< N-pp, a≤ e≤ a+ 1, d= 1+ ae and p∗:= p∗(a, e)= Np N-
dp, the existence of positive solution of a weighted p-Laplace equation involving vanishing …

A Positive Solution for a Weighted Anisotropic p-Laplace Equation Involving Vanishing Potential

A Razani, GS Costa, GM Figueiredo - Mediterranean Journal of …, 2024 - Springer
Here, a weighted anisotropic p-Laplace equation-Δ ap→ u+ V (x)| x|-ap∗| u| p+-2 u= f (u), in
RN is considered where Δ ap→ u:=∑ i= 1 N∂∂ xi| x|-api∂ u∂ xipi-2∂ u∂ xi, the potential …