Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth

Authors
Grossi, M Magrone, P Matzeu, M
Citation
M. Grossi et al., Linking type solutions for elliptic equations with indefinite nonlinearities up to the critical growth, DISCR C D S, 7(4), 2001, pp. 703-718
Citations number
22
Categorie Soggetti
Mathematics
Journal title
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN journal
10780947 → ACNP
Volume
7
Issue
4
Year of publication
2001
Pages
703 - 718
Database
ISI
SICI code
1078-0947(200110)7:4<703:LTSFEE>2.0.ZU;2-B
Abstract
In this paper we state some existence results for the semilinear elliptic e quation -Deltau(x) - lambdau(x) = W(x)f(u) where W(x) is a function possibl y changing sign, f has a superlinear growth and lambda is a positive real p arameter. We discuss both the cases of subcritical and critical growth for f, and prove the existence of Linking type solutions.