Existence of two nontrivial solutions for a class of elliptic eigenvalue problems

Authors
Marano, SA Motreanu, D
Citation
Sa. Marano et D. Motreanu, Existence of two nontrivial solutions for a class of elliptic eigenvalue problems, ARCH MATH, 75(1), 2000, pp. 53-58
Citations number
3
Categorie Soggetti
Mathematics
Journal title
ARCHIV DER MATHEMATIK
ISSN journal
0003889X → ACNP
Volume
75
Issue
1
Year of publication
2000
Pages
53 - 58
Database
ISI
SICI code
0003-889X(20000703)75:1<53:EOTNSF>2.0.ZU;2-B
Abstract
For a family of elliptic eigenvalue problems, already investigated by B. Ri cceri in [2, 3], the existence of two nontrivial weak solutions is establis hed. The approach taken makes use of the Mountain Pass Theorem.