Asymptotic Behaviour of some Nonlinear Elliptic Problems

2002 ◽  
pp. 77-100
Author(s):  
Michel Chipot
Keyword(s):  
Asymptotic Behaviour ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic

ON THE ASYMPTOTIC BEHAVIOUR OF THE SOLUTION OF ELLIPTIC PROBLEMS IN CYLINDRICAL DOMAINS BECOMING UNBOUNDED

2002 ◽  
Vol 04 (01) ◽  
pp. 15-44 ◽  
Author(s):  
M. CHIPOT ◽  
A. ROUGIREL
Keyword(s):  
Asymptotic Behavior ◽  
Asymptotic Behaviour ◽  
Cross Section ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic ◽  
Cylindrical Domains ◽  
Linear And Nonlinear ◽  
The Cross

We study the asymptotic behavior of the solution of linear and nonlinear elliptic problems in cylindrical domains becoming unbounded in one or several directions. In particular we show that this solution converges in H1 norm toward the solution of problems set on the cross section of the domains.

Applications of Riccati-type inequalities to asymptotic theory of elliptic problems

2009 ◽  
Vol 139 (5) ◽  
pp. 1071-1089
Author(s):  
Hiroyuki Usami
Keyword(s):  
Asymptotic Behaviour ◽  
Asymptotic Theory ◽  
Existence Of Solutions ◽  
Necessary Conditions ◽  
Elliptic Problems ◽  
Nonlinear Elliptic Problems ◽  
Liouville Type ◽  
One Dimensional ◽  
Nonlinear Elliptic ◽  
Liouville Type Theorems

We show how one-dimensional generalized Riccati-type inequalities can be employed to analyse asymptotic behaviour of solutions of elliptic problems. We give Liouville-type theorems as well as necessary conditions for the existence of solutions of specified asymptotic behaviour of nonlinear elliptic problems.

scholarly journals Localization of solutions for nonlinear elliptic problems with critical growth

2006 ◽  
Vol 343 (11-12) ◽  
pp. 725-730 ◽  
Author(s):  
Rejeb Hadiji ◽  
Riccardo Molle ◽  
Donato Passaseo ◽  
Habib Yazidi
Keyword(s):  
Elliptic Problems ◽  
Critical Growth ◽  
Nonlinear Elliptic Problems ◽  
Nonlinear Elliptic
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