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The $p$ -Laplace eigenvalue problem as $p \to \infty$ in a Finsler metric

M. Belloni; Bernhard Kawohl; P. Juutinen — 2006

Journal of the European Mathematical Society

We consider the $p$ -Laplacian operator on a domain equipped with a Finsler metric. We recall relevant properties of its first eigenfunction for finite $p$ and investigate the limit problem as $p \to \infty$ .

Convex functions on Carnot groups.

P. Juutinen; G. Lu; J. J. Manfredi; B. Stroffolini — 2007

Revista Matemática Iberoamericana

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The p -Laplace eigenvalue problem as p → ∞ in a Finsler metric

Convex functions on Carnot groups.

The $p$ -Laplace eigenvalue problem as $p \to \infty$ in a Finsler metric