On asymptotic behavior in an infinite cylinder of solutions to an elliptic equation of second order: Elliptic equation of second order

On asymptotic behavior in an infinite cylinder of solutions to an elliptic equation of second order: Elliptic equation of second order

We consider the solution u to the second order linear elliptic equation Lu=0, in an infinite cylinder with nonlinear boundary condition. The conditions are found for existence of a positive solution, and its asymptotic behavior is studied.

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Veröffentlicht in:Applicable analysis 1998-12, Vol.71 (1-4), p.25-39
Hauptverfasser: Egorov, Yuri V., Kondratiev, Vladimir A.
Format: Artikel
Sprache:eng
Schlagworte:
Linear elliptic equation
nonlinear boundary condition
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Zusammenfassung:We consider the solution u to the second order linear elliptic equation Lu=0, in an infinite cylinder with nonlinear boundary condition. The conditions are found for existence of a positive solution, and its asymptotic behavior is studied.
ISSN:0003-6811
1563-504X
DOI:10.1080/00036819908840703