Herán A (2020)
Publication Type: Journal article
Publication year: 2020
Book Volume: 31
Pages Range: 565-592
Journal Issue: 3
DOI: 10.4171/RLM/905
We are concerned with local parabolic quasi-minimizers u on metric measure spaces. The measure space is assumed to fulfill a doubling and an annular-decay property and to support a weak (1; p)-Poincaréinequality, while u is associated to a Caratheódory integrand f obeying p-growth assumptions for p≥ 2. We are able to show a parabolic Harnack inequality under these assumptions. The quadratic case p =2 has already been considered in [25], whereas the superquadratic case, at least to our knowledge, has not even been treated in the euclidean setting. The proof following the ideas of DiBenedetto, Gianazza and Vespri in [9].
APA:
Herán, A. (2020). Harnack inequality for parabolic quasi minimizers on metric spaces. Rendiconti Lincei. Matematica e Applicazioni, 31(3), 565-592. https://dx.doi.org/10.4171/RLM/905
MLA:
Herán, Andreas. "Harnack inequality for parabolic quasi minimizers on metric spaces." Rendiconti Lincei. Matematica e Applicazioni 31.3 (2020): 565-592.
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