|
|||||
|
|
Eigenvalue problems in Orlicz–Sobolev spaces for rapidly growing operators in divergence form |
|
| Authors: | Marian Bocea Mihai Mihăilescu |
| Institution: | 1. Department of Mathematics and Statistics, Loyola University Chicago, 1032 W. Sheridan Road, Chicago, IL 60660, USA;2. Department of Mathematics, University of Craiova, 200585 Craiova, Romania;3. Research group of the project PN-II-ID-PCE-2012-4-0021, “Simion Stoilow” Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania |
| Abstract: | Eigenvalue problems involving the p-Laplacian and rapidly growing operators in divergence form are studied in an Orlicz–Sobolev setting. An asymptotic analysis of these problems leads to a full characterization of the spectrum of an exponential type perturbation of the Laplace operator. |
| Keywords: | 35D30 35J92 35P30 46E30 49J40 49J45 |
| 本文献已被 ScienceDirect 等数据库收录！ | |