- AutorIn
- Samuel Littig
- Titel
- The Eigenvalue Problem of the 1-Laplace Operator
- Untertitel
- Local Perturbation Results and Investigation of Related Vectorial Questions
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:14-qucosa-161044
- Datum der Einreichung
- 17.07.2014
- Datum der Verteidigung
- 23.01.2015
- Abstract (DE)
- As a first aspect the thesis treats existence results of the perturbed eigenvalue problem of the 1-Laplace operator. This is done with the aid of a quite general critical point theory results with the genus as topological index. Moreover we show that the eigenvalues of the perturbed 1-Laplace operator converge to the eigenvalues of the unperturebed 1-Laplace operator when the perturbation goes to zero. As a second aspect we treat the eigenvalue problems of the vectorial 1-Laplace operator and the symmetrized 1-Laplace operator. And as a third aspect certain related parabolic problems are considered.
- Freie Schlagwörter (DE)
- 1-Laplace Operator, Nichtglatte Theorie kritischer Punkte, Geschlecht, Störungsresultate, Bifurkation, Vektorwertiger Totalvariationsfluss, Symmetrisierter 1-Laplace Operator, BD
- Freie Schlagwörter (EN)
- 1-Laplace operator, nonsmooth critical point theory, genus, perturbation, bifurcation, vectorial total variation flow, symmetrized 1-Laplace operator, BD
- Klassifikation (DDC)
- 510
- Klassifikation (RVK)
- SK 620
- GutachterIn
- Prof. Dr. Friedemann Schuricht
- Prof. PhD. Jan Kristensen
- Den akademischen Grad verleihende / prüfende Institution
- Technische Universität Dresden, Dresden
- URN Qucosa
- urn:nbn:de:bsz:14-qucosa-161044
- Veröffentlichungsdatum Qucosa
- 19.02.2015
- Dokumenttyp
- Dissertation
- Sprache des Dokumentes
- Englisch
- Lizenz / Rechtehinweis