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Description
| - In this paper we demonstrate the fact that the famous Ljusternik-Schnirelmann characterization of some eigenvalues of nonlinear elliptic problems (by a minimax formula) has a global variational character. Indeed, we show that, for some homogeneous quasilinear elliptic eigenvalue problems, there are variational eigenvalues other than those of the Ljusternik-Schnirelmann type. In contrast, these eigenvalues have a local variational character. Such a phenomenon does not occur in typical linear elliptic eigenvalue problems, owing to the Courant-Fischer theorem which is the linear analogue and predecessor of the Ljusternik-Schnirelmann theory.
- In this paper we demonstrate the fact that the famous Ljusternik-Schnirelmann characterization of some eigenvalues of nonlinear elliptic problems (by a minimax formula) has a global variational character. Indeed, we show that, for some homogeneous quasilinear elliptic eigenvalue problems, there are variational eigenvalues other than those of the Ljusternik-Schnirelmann type. In contrast, these eigenvalues have a local variational character. Such a phenomenon does not occur in typical linear elliptic eigenvalue problems, owing to the Courant-Fischer theorem which is the linear analogue and predecessor of the Ljusternik-Schnirelmann theory. (en)
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Title
| - On variational eigenvalues of the p-Laplacian which are not of Ljusternik-Schnirelmann type
- On variational eigenvalues of the p-Laplacian which are not of Ljusternik-Schnirelmann type (en)
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skos:prefLabel
| - On variational eigenvalues of the p-Laplacian which are not of Ljusternik-Schnirelmann type
- On variational eigenvalues of the p-Laplacian which are not of Ljusternik-Schnirelmann type (en)
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skos:notation
| - RIV/49777513:23520/10:00503407!RIV11-MSM-23520___
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
| - P(MEB100902), Z(MSM4977751301)
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/49777513:23520/10:00503407
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - variational eigenvalues; p-Lapacian; Ljusternik-Schnirelmann method (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - GB - Spojené království Velké Británie a Severního Irska
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
| - JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...vavai/riv/projekt
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Drábek, Pavel
- Takáč, Peter
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http://linked.open...ain/vavai/riv/wos
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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