Geodesic
The p-Laplace Eigenvalue Problem as p Approaches 1 and Cheeger Sets in a Finsler Metric
Journal of convex analysis, Tome 15 (2008) no. 3, pp. 623-634

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We consider the $p$-Laplacian operator on a domain equipped with a Finsler metric. After deriving and recalling relevant properties of its first eigenfunction for $p>1$, we investigate the limit problem as $p\to 1$.
Classification : 35J20, 35J70, 49A52, 49G05, 52A05, 52A40
Mots-clés : p-Laplace, eigenfunction, Finsler metric, Cheeger set, anisotropic isoperimetric inequality 
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     author = {B. Kawohl and M. Novaga},
     title = {The {p-Laplace} {Eigenvalue} {Problem} as p {Approaches} 1 and {Cheeger} {Sets} in a {Finsler} {Metric}},
     journal = {Journal of convex analysis},
     pages = {623--634},
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     volume = {15},
     number = {3},
     year = {2008},
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B. Kawohl; M. Novaga. The p-Laplace Eigenvalue Problem as p Approaches 1 and Cheeger Sets in a Finsler Metric. Journal of convex analysis, Tome 15 (2008) no. 3, pp. 623-634. http://geodesic.mathdoc.fr/item/JCA_2008_15_3_JCA_2008_15_3_a11/