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Singularities and asymptotics of solutions of the Emden-Chandrasekhar-Riccati equation (2506.01136v1)
Published 1 Jun 2025 in math.AP
Abstract: We study the local properties of positive solutions of the equation $-\Delta u+ m\abs{\nabla u}q-e{u}=0$ in a punctured domain $\Omega\setminus{0}$ of $RN$, $N\geq 2$, where $m$ is a positive parameter and $q>1$. We study particularly the existence of solutions with an isolated singularity and the local behaviour of such singular solutions. .