Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint

Authors
Li, YQ Liu, ZL
Citation
Yq. Li et Zl. Liu, Multiple and sign changing solutions of an elliptic eigenvalue problem with constraint, SCI CHINA A, 44(1), 2001, pp. 48-57
Citations number
22
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511 → ACNP
Volume
44
Issue
1
Year of publication
2001
Pages
48 - 57
Database
ISI
SICI code
1001-6511(200101)44:1<48:MASCSO>2.0.ZU;2-I
Abstract
We prove the existence of sign changing solutions of a semilinear elliptic eigenvalue problem with constraint by using variational methods. Among thos e three solutions we obtained, one rs positive, one negative and one sign c hanging. We also prove the existence of multiple sign changing solutions un der some additional condition.