Existence of a sequence of eigensolutions for the 1-Laplace operator
- Autores: Zoja Milbers, Friedemann Schuricht
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 1, 2010, págs. 74-88
- Idioma: inglés
- DOI: 10.1112/jlms/jdq012
- Enlaces
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Resumen
The paper verifies the existence of a sequence of eigenfunctions for the 1-Laplace operator by showing that the corresponding variational problem has a sequence of critical points. Since the functionals entering the variational problem are not differentiable, critical points are defined by means of the weak slope.
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