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Lipschitz regularity for minimizers of functionals with p,q-growth

Dr. Vivek Tewary, TIFR-CAM
Speaker
Dr. Vivek Tewary, TIFR-CAM
When Sep 29, 2021
from 04:00 PM to 05:00 PM
Where zoom meet
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Abstract :  Regularity theory for minimizers of functionals of p,q-growth was first studied by Marcellini who proved Lipschitz regularity of the minimizers with the restriction q/p < 1 + 2/N, where N is the dimension of the ambient space.  We discuss some Lipschitz regularity results for bounded minimizers of scalar autonomous functionals with p,q-growth where the restriction on q is independent of the dimension N.

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