Existence and asymptotic behavior of solutions for a class of nonlinear elliptic equations with Neumann condition

2005 ◽  
Vol 61 (1-2) ◽  
pp. 21-40 ◽  
Author(s):  
Ilma Marques
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Neumann Condition ◽  
Nonlinear Elliptic

On the Existence of Positive Decaying Entire Solutions for a Class of Sublinear Elliptic Equations

1988 ◽  
Vol 40 (5) ◽  
pp. 1156-1173 ◽  
Author(s):  
Yasuhiro Furusho ◽  
Takaŝi Kusano
Keyword(s):  
Asymptotic Behavior ◽  
Elliptic Equations ◽  
Early Stage ◽  
Nonlinear Elliptic Equations ◽  
Entire Solution ◽  
Entire Solutions ◽  
Nonlinear Elliptic ◽  
The Subject ◽  
Image Position ◽  
Simple Equations

In recent years there has been a growing interest in the existence and asymptotic behavior of entire solutions for second order nonlinear elliptic equations. By an entire solution we mean a solution of the elliptic equation under consideration which is guaranteed to exist in the whole Euclidean N-space RN, N ≧ 2. For standard results on the subject the reader is referred to the papers [2-7, 9-21].The study of entire solutions, which at an early stage was restricted to simple equations of the form Δu + f(x, u) = 0, x ∊ RN, Δ being the N-dimensional Laplacian, has now been extended and generalized to elliptic equations of the typeAwhere

A new concept of reduced measure for nonlinear elliptic equations

2004 ◽  
Vol 339 (3) ◽  
pp. 169-174 ◽  
Author(s):  
Haïm Brezis ◽  
Moshe Marcus ◽  
Augusto C. Ponce
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Nonlinear Elliptic
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