Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on R-n

Authors
Bae, S Ni, WM
Citation
S. Bae et Wm. Ni, Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on R-n, MATH ANNAL, 320(1), 2001, pp. 191-210
Citations number
10
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ANNALEN
ISSN journal
00255831 → ACNP
Volume
320
Issue
1
Year of publication
2001
Pages
191 - 210
Database
ISI
SICI code
0025-5831(200105)320:1<191:EAIMFA>2.0.ZU;2-J
Abstract
The existence/nonexistence question is studied for the inhomogeneous ellipt ic equation Deltau + u(p) + muf(x) = 0 in R-n. In particular, we establish that the above equation possesses infinitely many positive entire solutions for small mu > 0 provided that n > 11, p is large enough, and the locally Holder continuous function f satisfies suitable decay conditions at oo.