Esposito, L., Kawohl, B., Nitsch, C. and Trombetti, C. (2015). The Neumann eigenvalue problem for the infinity-Laplacian. Rend. Lincei-Mat. Appl., 26 (2). S. 119 - 135. ZURICH: EUROPEAN MATHEMATICAL SOC. ISSN 1720-0768
Full text not available from this repository.Abstract
The first nontrivial eigenfunction of the Neumann eigenvalue problem for the p-Laplacian, suitably normalized, converges to a viscosity solution of an eigenvalue problem for the infinity-Laplacian as p -> infinity. We show among other things that the limiting eigenvalue, at least for convex sets, is in fact the first nonzero eigenvalue of the limiting problem. We then derive a number of consequences, which are nonlinear analogues of well-known inequalities for the linear (2-)Laplacian.
| Item Type: | Journal Article | ||||||||||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-416571 | ||||||||||||||||||||
| DOI: | 10.4171/RLM/697 | ||||||||||||||||||||
| Journal or Publication Title: | Rend. Lincei-Mat. Appl. | ||||||||||||||||||||
| Volume: | 26 | ||||||||||||||||||||
| Number: | 2 | ||||||||||||||||||||
| Page Range: | S. 119 - 135 | ||||||||||||||||||||
| Date: | 2015 | ||||||||||||||||||||
| Publisher: | EUROPEAN MATHEMATICAL SOC | ||||||||||||||||||||
| Place of Publication: | ZURICH | ||||||||||||||||||||
| ISSN: | 1720-0768 | ||||||||||||||||||||
| Language: | English | ||||||||||||||||||||
| Faculty: | Unspecified | ||||||||||||||||||||
| Divisions: | Unspecified | ||||||||||||||||||||
| Subjects: | no entry | ||||||||||||||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/41657 |
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