4.6 Article

Harnack inequalities for double phase functionals

Journal

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Volume 121, Issue -, Pages 206-222

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2014.11.001

Keywords

Regularity; Harnack inequality; Degenerate problems

Funding

  1. Gruppo Nazionale per l'Analisi Matematica, la Probabilita e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM)

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We prove a Harnack inequality for minimisers of a class of non-autonomous functionals with non-standard growth conditions. They are characterised by the fact that their energy density switches between two types of different degenerate phases. (C) 2014 Elsevier Ltd. All rights reserved.

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