most citedThe Cheeger N-problem in terms of BV functions

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math.AP2017★ 6 cited

The Cheeger N-problem in terms of BV functions

Marco Caroccia, Samuel Littig

We reformulate the Cheeger N partition problem as a minimization among a suitable class of BV functions. This allows us to obtain a new existence proof for the Cheeger-N-problem. M…

math.AP2017

Perturbation results involving the 1-Laplace operator

Samuel Littig, Fridemann Schuricht

We consider perturbed eigenvalue problems of the 1-Laplace operator and verify the existence of a sequence of solutions. It is shown that the eigenvalues of the perturbed problem c…