TY - JOUR
T1 - A perturbation result of semilinear elliptic equations in exterior strip domains
AU - Hsu, Tsing San
AU - Wang, Hwai Chiuan
PY - 1997
Y1 - 1997
N2 - In this paper we show that if the decay of nonzero f is fast enough, then the perturbation Dirichlet problem -Δu + u = up + f(z) in Ω has at least two positive solutions, where N = m+n, m≧3, n≧1, 1m a bounded C1,1 domain S = ω × Rn, D is a bounded C1,1 domain in Rm+n such that D⊂⊂S and Ω=S\D. In case f≡0, we assert that there is a positive higher-energy solution providing that D is small.
AB - In this paper we show that if the decay of nonzero f is fast enough, then the perturbation Dirichlet problem -Δu + u = up + f(z) in Ω has at least two positive solutions, where N = m+n, m≧3, n≧1, 1m a bounded C1,1 domain S = ω × Rn, D is a bounded C1,1 domain in Rm+n such that D⊂⊂S and Ω=S\D. In case f≡0, we assert that there is a positive higher-energy solution providing that D is small.
UR - http://www.scopus.com/inward/record.url?scp=21944443783&partnerID=8YFLogxK
U2 - 10.1017/S0308210500026858
DO - 10.1017/S0308210500026858
M3 - 文章
AN - SCOPUS:21944443783
SN - 0308-2105
VL - 127
SP - 983
EP - 1004
JO - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
JF - Proceedings of the Royal Society of Edinburgh Section A: Mathematics
IS - 5
ER -