Artículos de revistas
Uniqueness of radially symmetric positive solutions for -Delta u+u=u(p) in an annulus
Fecha
2008-09-01Registro en:
JOURNAL OF DIFFERENTIAL EQUATIONS Volume: 245 Issue: 5 Pages: 1198-1209 Published: SEP 1 2008
0022-0396
10.1016/j.jde.2008.06.006
Autor
Felmer Aichele, Patricio
Tanaka, Kazunaga
Martínez Salazar, Salomé
Institución
Resumen
In this article we prove that the semi-linear elliptic partial differential equation
-Delta u + u = u(p) in Omega
u > 0 in Omega. u = 0 on partial derivative Omega
possesses a unique positive radially symmetric solution. Here p > 1 and Omega is the annulus (x epsilon R-N vertical bar a < vertical bar x vertical bar < b), with N >= 2, 0 < a < b <= infinity. We also show the positive solution is non-degenerate.