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.
@article{7495,
title = {Some results about positive solutions of a nonlinear equation with a weighted Laplacian - doi: 10.5269/bspm.v22i1.7495},
journal = {Boletim da Sociedade Paranaense de Matem\'atica},
volume = {23},
year = {2009},
doi = {10.5269/bspm.v22i1.7495},
language = {EN},
url = {http://dml.mathdoc.fr/item/7495}
}
García-Huidobro, Marcia; Manásevich, Raul; Yarur, Cecilia S. Some results about positive solutions of a nonlinear equation with a weighted Laplacian - doi: 10.5269/bspm.v22i1.7495. Boletim da Sociedade Paranaense de Matemática, Tome 23 (2009) . doi : 10.5269/bspm.v22i1.7495. http://gdmltest.u-ga.fr/item/7495/