Some results about positive solutions of a nonlinear equation with a weighted Laplacian - doi: 10.5269/bspm.v22i1.7495

Abstract

We consider the problem of classification of bounded positive solutions to
\begin{equation*}

(P)\left\{

\begin{aligned}

 -\nabla \cdot (A(|x|)\nabla u) = B(|x|)|u|^{q-2}u; x \in R^n:
\end{aligned}

\right.

\end{equation*}

Here q > 2, and A; B are weight functions, i.e., a.e. positive measurable functions.