Critical variable exponent functionals in image restoration

: Harjulehto P, Hasto P, Latvala V, Toivanen O

Publisher: PERGAMON-ELSEVIER SCIENCE LTD

: 2013

: Applied Mathematics Letters

: APPLIED MATHEMATICS LETTERS

: APPL MATH LETT

: 1

: 26

: 1

: 56

: 60

: 5

: 0893-9659

DOI: https://doi.org/10.1016/j.aml.2012.03.032

We study a variable exponent model for image restoration in the case that the exponent attains the critical value one. We prove existence and Gamma-convergence. The results answer an open question by Li, Li and Pi [F. Li, Z. Li, L Pi, Ling, Variable exponent functionals in image restoration, Appl. Math. Comput. 216 (3)(2010) 870-882] (C) 2012 Elsevier Ltd. All rights reserved.

Mathematics