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 -> 1.
The p-Laplace eigenvalue problem as p goes to 1 and Cheeger sets in a Finsler metric
NOVAGA, MATTEO
2008
Abstract
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 -> 1.
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