Strong solutions for singular Dirichlet elliptic problems

We prove an existence result for strong solutions $u\in W^{2,q}\left(\Omega\right) $ of singular semilinear elliptic problems of the form $-\Delta u=g\left( \cdot,u\right) $ in $\Omega,$ $u=\tau$ on $\partial\Omega,$ where $1<q<\infty,$ $\Omega$ is a bounded domain in $\mathbb{R}^{n}$ with...

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Bibliographic Details
Main Author: Tomas Godoy
Format: Article
Language:English
Published: University of Szeged 2022-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=9902