Regular and singular solutions of a quasilinear equation with weights (Q2774032)

The authors investigate the behaviour near 0 of the non negative solutions of the equations NEWLINE\[NEWLINE -{\text div}(a(x)|\nabla u|^{p-2} \nabla u) = b(x) |u|^{\delta -1} u, \qquad x \in \Omega \setminus \{0\} NEWLINE\]NEWLINE where \(\Omega\) is a domain in \(\mathbb{R}^n\) containing the origin and \(a,b \geq 0\) are weight functions. Classification of the solutions in the radial case is given and the Dirichlet problem is considered.