Asymptotic behavior of solutions of nonlinear elliptic equations | Academic Article individual record
abstract

We study and obtain formulas for the asymptotic behavior as |x| of C2 solutions of the semilinear equation u=f(x, u), x (*) where is the complement of some ball in n and f is continuous and nonlinear in u. If, for large x, f is nearly radially symmetric in x, we give conditions under which each positive solution of (*) is asymptotic, as |x|, to some radially symmetric function. Our results can also be useful when f is only bounded above or below by a function which is radially symmetric in x or when the solution oscillates in sign. Examples when f has power-like growth or exponential growth in the variables x and u usefully illustrate our results. 1993 Springer-Verlag.

publication outlet

Archive for Rational Mechanics and Analysis

author list (cited authors)
Taliaferro, S. D.
publication date
1993
citation count

3

identifier
165457SE
Digital Object Identifier (DOI)
start page
105
end page
121
volume
122
issue
2