scholarly journals Boundary behavior of positive solutions of the Helmholtz equation and associated potentials.

1991 ◽  
Vol 38 (3) ◽  
pp. 381-393 ◽  
Author(s):  
Robert Berman ◽  
David Singman
Keyword(s):  
Helmholtz Equation ◽  
Positive Solutions ◽  
Boundary Behavior

scholarly journals Boundary Behavior of Solutions of the Helmholtz Equation

2009 ◽  
Vol 52 (4) ◽  
pp. 555-563
Author(s):  
Kentaro Hirata
Keyword(s):  
Helmholtz Equation ◽  
Boundary Behavior ◽  
Type Theorem ◽  
Approach Region

AbstractThis paper is concerned with the boundary behavior of solutions of the Helmholtz equation in ℝn. In particular, we give a Littlewood-type theorem to show that the approach region introduced by Korányi and Taylor (1983) is best possible.

Positive solutions for a quasilinear system Via blow up

1993 ◽  
Vol 18 (12) ◽  
pp. 2071-2106
Author(s):  
Philippe Clément ◽  
Raúl Manásevich ◽  
Enzo Mitidieri
Keyword(s):  
Positive Solutions ◽  
Blow Up ◽  
Quasilinear System
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