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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Format: | Article |
Language: | English |
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University of Szeged
2022-08-01
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Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9902 |