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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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Showing 1 to 2 of 2 (0.1 seconds)

Spelling suggestions: "subject:"vektorwertige totalvariation"" "subject:"vektorwertige formationsfluss""

1

The Eigenvalue Problem of the 1-Laplace Operator

Littig, Samuel 19 February 2015 (has links) (PDF)
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.
1-Laplace Operator
Nichtglatte Theorie kritischer Punkte
Geschlecht
Störungsresultate
Bifurkation
Vektorwertiger Totalvariationsfluss
Symmetrisierter 1-Laplace Operator
BD
1-Laplace operator
nonsmooth critical point theory
genus
perturbation
bifurcation
vectorial total variation flow
symmetrized 1-Laplace operator
BD
ddc:510
rvk:SK 620
2

The Eigenvalue Problem of the 1-Laplace Operator: Local Perturbation Results and Investigation of Related Vectorial Questions

Littig, Samuel 23 January 2015 (has links)
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.
info:eu-repo/classification/ddc/510
ddc:510

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