scholarly journals Positive radial solutions of n-dimensional elliptic systems with indefinite weight functions and n parameters

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Meiqiang Feng ◽  
Ping Li
Keyword(s):  
Elliptic Systems ◽  
Weight Functions ◽  
Indefinite Weight ◽  
Radial Solutions ◽  
Positive Radial Solutions ◽  
Indefinite Weight Functions

scholarly journals Existence of non-negative solutions for semilinear elliptic systems via variational methods

2012 ◽  
Vol 17 (2) ◽  
pp. 194-209
Author(s):  
Somayeh Khademloo ◽  
Shapur Heidarkhani
Keyword(s):  
Variational Methods ◽  
Existence Result ◽  
Elliptic Systems ◽  
Weight Functions ◽  
Indefinite Weight ◽  
Semilinear Elliptic Systems ◽  
Semilinear Elliptic ◽  
Nonnegative Solutions ◽  
Semilinear Elliptic System ◽  
Indefinite Weight Functions

In this paper we consider a semilinear elliptic system with nonlinearities, indefinite weight functions and critical growth terms in bounded domains. The existence result of nontrivial nonnegative solutions is obtained by variational methods. 

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].

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