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On some Semilinear Periodic Parabolic Problems
Godoy, Tomas
Kaufmann, Uriel
2006
Abstract
Let $\Omega \subset \mathbb R^N$ a smooth bounded domain. We study
existence and nonexistence of positive solutions for some semilinear
Dirichlet periodic parabolic problems of the form
$Lu = h(x,t,u)$ in $\Omega\times \mathbb R$
for a class of Caratheodory functions
$h : \Omega\times \mathbb R \times [0,\infty) \rightarrow \mathbbR$
such that h (., 0) = 0 and $\lim_{\xi\rightarrow 0^+}\xi^{ −1}h (.,\xi) = 0$
or $-\infty$. All results remain true for the corresponding elliptic
problems.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
38 (2006)
Publisher
EUT Edizioni Università di Trieste
Source
T. Godoy, U. Kaufmann, "On some Semilinear Periodic Parabolic Problems", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 38 (2006), pp. 139-148.
Languages
it
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