TY - JOUR
T1 - Three positive solutions of semilinear elliptic equations in the half space with a hole
AU - Lin, Huei Li
PY - 2006/11/15
Y1 - 2006/11/15
N2 - In this paper, assume that h is nonnegative and {norm of matrix} h {norm of matrix}L2 > 0, we prove that if {norm of matrix} h {norm of matrix}L2 is sufficiently small, then there are at least three positive solutions of Eq. (1) in R+N \ over(D, -), where D is a C1,1 bounded domain in R+N.
AB - In this paper, assume that h is nonnegative and {norm of matrix} h {norm of matrix}L2 > 0, we prove that if {norm of matrix} h {norm of matrix}L2 is sufficiently small, then there are at least three positive solutions of Eq. (1) in R+N \ over(D, -), where D is a C1,1 bounded domain in R+N.
KW - (PS)-sequence
KW - Minimax method
KW - Semilinear elliptic equations
KW - Three positive solutions
UR - http://www.scopus.com/inward/record.url?scp=33748694525&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2006.03.024
DO - 10.1016/j.jde.2006.03.024
M3 - 文章
AN - SCOPUS:33748694525
SN - 0022-0396
VL - 230
SP - 614
EP - 633
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 2
ER -