Electron. J. Diff. Equ., Vol. 2011 (2011), No. 162, pp. 1-11.

A jumping problem for a quasilinear equation involving the 1-Laplace operator

Annamaria Canino, Giuseppe Riey

Abstract:
We prove the existence of solutions for a jumping problem of a functional whose principal part is the total variation. Our main tool is a nonsmooth variational method.

Submitted September 20, 2011. Published December 8, 2011.
Math Subject Classifications: 35J65, 49J40.
Key Words: Non-smooth analysis; jumping problems; hemivariational inequalities.

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Annamaria Canino
Dipartimento di Matematica, UNICAL
Ponte Pietro Bucci 31B, 87036, Arcavacata di Rende
Cosenza, Italy
email: canino@mat.unical.it
Giuseppe Riey
Dipartimento di Matematica, UNICAL
Ponte Pietro Bucci 31B, 87036, Arcavacata di Rende
Cosenza, Italy
email: riey@mat.unical.it

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