scholarly journals Non-Existence of Positive Radially Symmetric Solutions for the p-Laplacian Boundary Value Problem on Annular Domains

2008 ◽  
Vol 51 (2) ◽  
pp. 269-279
Author(s):  
Fu-Hsiang Wong ◽  
Chin-Chen Chou ◽  
Wei-Cheng Lian ◽  
Shiueh-Ling Yu
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value ◽  
Annular Domains ◽  
Radially Symmetric Solutions

scholarly journals Radially symmetric solutions of a class of singular elliptic equations

1990 ◽  
Vol 33 (2) ◽  
pp. 169-180 ◽  
Author(s):  
Juan A. Gatica ◽  
Gaston E. Hernandez ◽  
P. Waltman
Keyword(s):  
Boundary Value Problem ◽  
Elliptic Equations ◽  
Boundary Value ◽  
Open Unit ◽  
Open Unit Ball ◽  
Singular Elliptic Equations ◽  
Existence Of Positive Solutions ◽  
Radially Symmetric Solutions ◽  
Image Position ◽  
Special Case

The boundary value problemis studied with a view to obtaining the existence of positive solutions in C1([0, 1])∩C2((0, 1)). The function f is assumed to be singular in the second variable, with the singularity modeled after the special case f(x, y) = a(x)y−p, p>0.This boundary value problem arises in the search of positive radially symmetric solutions towhere Ω is the open unit ball in ℝN, centered at the origin, Γ is its boundary and |x| is the Euclidean norm of x.

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