Existence results for nonlinear elliptic equations related to Gauss measure in a limit case
Existence results for nonlinear elliptic equations related to Gauss measure in a limit case
The aim of this paper is to prove existence results for nonlinearelliptic equations whose the prototype is -div$(|\nablau|^{p-2}\nabla u\varphi) =g\varphi $ in a open subset $\Omega $ of $R^n,$ $u=0$ on $\partial \Omega $, where $p\geq2$, the function $\varphi (x)=(2\pi)^{-\frac{n}{2}}$exp$(-|x|^2 /2) $ is the density of Gaussmeasure and $g\in L^1$ …