Regularity of minimizers with generalized Orlicz growth

Speaker(s)

Arttu Karppinen

Affiliation

University of Turku, Finlandia

Date

Oct. 3, 2019, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

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We will discuss the motivation of studying minimizers of  
variational integrals or solutions to partial differential equations  
with generalized Orlicz (also known as Musielak-Orlicz) growth  
conditions. After introducing the context, a global higher  
integrability result of the gradient of a minimizer related to an  
obstacle problem is shown. This talk is partly based on a joint work  
with Petteri Harjulehto and Peter Hästö.

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