Degenerate elliptic equations with a natural growth gradient term and a strongly increasing lower term
Volume 45 / 2018
Applicationes Mathematicae 45 (2018), 275-291
MSC: 35J60, 35J70, 35D30.
DOI: 10.4064/am2315-11-2017
Published online: 17 September 2018
Abstract
We study the existence and regularity of solutions for elliptic equations with degenerate coercivity and with both a natural growth term depending on the gradient and a strongly increasing lower term. The source term $f$ belongs to $L^{m}(\Omega )$ with $m \geq 1$. Moreover, we show a regularizing for effect solutions.
