Sharp regularity estimates for quasi-linear elliptic dead core problems
and applications
Sharp regularity estimates for quasi-linear elliptic dead core problems
and applications
In this manuscript we study geometric regularity estimates for quasi-linear elliptic equations of $p$-Laplace type ($1 < p< \infty$) with strong absorption condition: $$ -\text{div}\,(\Phi(x, u, \nabla u)) + \lambda_0(x) u_{+}^q(x) = 0 \quad \text{in} \quad \Omega \subset \mathbb{R}^N, $$ where $\Phi: \Omega \times \mathbb{R}_{+} \times \mathbb{R}^N \to \mathbb{R}^N$ is …