Principal eigenvalues and anti-maximum principle for some quasilinear elliptic equations on R-N

Authors
Stavrakakis, NM de Thelin, F
Citation
Nm. Stavrakakis et F. De Thelin, Principal eigenvalues and anti-maximum principle for some quasilinear elliptic equations on R-N, MATH NACHR, 212, 2000, pp. 155-171
Citations number
20
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE NACHRICHTEN
ISSN journal
0025584X → ACNP
Volume
212
Year of publication
2000
Pages
155 - 171
Database
ISI
SICI code
0025-584X(2000)212:<155:PEAAPF>2.0.ZU;2-O
Abstract
We improve some previous existence and nonexistence results for positive pr incipal eigenvalues of the problem -Delta(p)u = lambda g(x)psi(p)(u), x is an element of R-N, lim(\x\-->+infinity) u(x) = 0. Also we discuss existence, nonexistence and antimaximum principle questions concerning the perturbed problem -Delta(p)u = lambda g(x)psi(p)(u) + f(x), x is an element of R-N.