A multiplicity result of positive radial solutions for a multiparameter elliptic system on an exterior domain

2001 ◽  
Vol 45 (5) ◽  
pp. 597-611 ◽  
Author(s):  
Yong-Hoon Lee
Keyword(s):  
Elliptic System ◽  
Exterior Domain ◽  
Multiplicity Result ◽  
Radial Solutions ◽  
Positive Radial Solutions

scholarly journals Three Solutions Theorem forp-Laplacian Problems with a Singular Weight and Its Application

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Yong-Hoon Lee ◽  
Seong-Uk Kim ◽  
Eun Kyoung Lee
Keyword(s):  
Exterior Domain ◽  
Upper And Lower Solutions ◽  
Solution Space ◽  
Combustion Model ◽  
Radial Solutions ◽  
Three Solutions ◽  
Singular Weight ◽  
One Dimensional ◽  
Positive Radial Solutions ◽  
Three Solutions Theorem

We prove Amann type three solutions theorem for one dimensionalp-Laplacian problems with a singular weight function. To prove this theorem, we define a strong upper and lower solutions and compute the Leray-Schauder degree on a newly established weighted solution space. As an application, we consider the combustion model and show the existence of three positive radial solutions on an exterior domain.

scholarly journals Non-existence of ground states for a semilinear elliptic system of Lane-Emden-Fowler type

2013 ◽  
Vol 29 (2) ◽  
pp. 187-193
Author(s):  
MIODRAG IOVANOV ◽  
Keyword(s):  
Elliptic System ◽  
Nonlinear Term ◽  
Sufficient Conditions ◽  
Elliptic Systems ◽  
Aequationes Math ◽  
Radial Solutions ◽  
Semilinear Elliptic ◽  
Semilinear Elliptic System ◽  
Positive Radial Solutions ◽  
Radially Symmetric Solutions

We obtain sufficient conditions for the non-existence of positive radially symmetric solutions for a class of Lane, Emden and Fowler elliptic systems. In our result, the nonlinear term it was suggested by the work of [D. O’Regan and H. Wang, Positive radial solutions for p-Laplacian systems, Aequationes Math., 75 (2008) 43–50].

Positive Radial Solutions for Elliptic Systems with Nonlocal Conditions

2012 ◽  
Vol 204-208 ◽  
pp. 4800-4808
Author(s):  
Sheng Li Xie
Keyword(s):  
Fixed Point ◽  
Elliptic System ◽  
Fixed Point Index ◽  
Nonlocal Conditions ◽  
Elliptic Systems ◽  
Index Theory ◽  
Point Index ◽  
Radial Solutions ◽  
Fixed Point Index Theory ◽  
Positive Radial Solutions

By using fixed point index theory,we study the existence of positive radial solutions and multiple positive radial solutions for the elliptic system with nonlocal conditions. Our results extend and improve some existing ones.

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