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On bounded solutions of the Emden-Fowler equation in a semi-cylinder
Linköping University, The Institute of Technology. Linköping University, Department of Mathematics, Applied Mathematics.
2002 (English)In: Journal of Differential Equations, ISSN 0022-0396, Vol. 179, no 2, 456-478 p.Article in journal (Refereed) Published
Abstract [en]

Bounded solutions of the Emden-Fowler equation in a semi-cylinder are considered. For small solutions the asymptotic representations at infinity are derived. It is shown that there are large solutions whose behavior at infinity is different. These solutions are constructed when some inequalities between the dimension of the cylinder and the homogeneity of the nonlinear term are fulfilled. If these inequalities are not satisfied then it is proved, for the Dirichlet problem, that all bounded solutions tend to zero and have the same asymptotics as small solutions. © 2002 Elsevier Science (USA).

Place, publisher, year, edition, pages
2002. Vol. 179, no 2, 456-478 p.
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-47083DOI: 10.1006/jdeq.2001.4047OAI: diva2:267979
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-13

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Kozlov, Vladimir
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The Institute of TechnologyApplied Mathematics
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