Eigenvalue Problem for the 1-Laplace Operator

We consider the eigenvalue problem associated to the 1-Laplace operator. We define higher eigensolutions by means of weak slope and establish existence of a sequence of eigensolutions by using nonsmooth critical point theory. In addition, we deduce a new necessary condition for the first eigenvalue of the 1-Laplace operator by means of inner variations.

Level thesis:degree_level

thesis.doctoral

Grantor dc:publisher

Technische Universität Dresden

Year

2009

Author dc:creator

• Milbers, Zoja

Contributors dc:contributor

• Schuricht, Friedemann
• Kawohl, Bernd
• Degiovanni, Marco

• 1-Laplace
• nonsmooth critical point theory
• weak slope
• inner variations
• nichtglatte Theorie kritischer Punkte
• innere Variationen