06106996

j

06106996 Harjulehto, P. H\"ast\"o, P. Latvala, V. Toivanen, O. Critical variable exponent functionals in image restoration. Appl. Math. Lett. 26, No. 1, 56-60 (2013). 2013 Elsevier Science Ltd. (Pergamon), Oxford EN variable exponent existence of minimizers image restoration

doi:10.1016/j.aml.2012.03.032

Summary: 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]