An alternative derivation of the eigenvalue equation for the 1-Laplace operator
نویسنده
چکیده
Minimizers of the total variation subject to a prescribed L-norm are considered as eigensolutions of the 1-Laplace operator. The derivation of the corresponding eigenvalue equation, which requires particular care due to the lack of smoothness, is carried out in a previous paper by using a special Lagrange multiplier rule based on Degiovanni’s weak slope. The present paper provides a simpler proof that exploits the special structure of the problem and does not go beyond convex analysis.
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