Existence and regularity of solutions for the elliptic nonlinear transparent media equation
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DOI: 10.3934/dcds.2024173
Abstract: In this paper we study existence and regularity of solutions to Dirichlet problems as $$ \begin{cases} - {\rm div}\left(|u|^m\frac{D u}{|D u|}\right) = f&\text{in}\;\Omega,\\ \newline u=0&\text{on}\;\partial\Omega, \end{cases} $$ where $\Omega$ is an open bounded subset of… read more here.
Keywords: existence regularity; elliptic nonlinear; solutions elliptic; regularity solutions ... See more keywords