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arXiv · 2203.07699

Higher integrability and stability of $(p,q)$-quasiminimizers

Antonella Nastasi·Cintia Pacchiano Camacho
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Abstract

Using purely variational methods, we prove local and global higher integrability results for upper gradients of quasiminimizers of a $(p,q)$-Dirichlet integral with fixed boundary data, assuming it belongs to a slightly better Newtonian space. We also obtain a stability property with respect to the varying exponents $p$ and $q$. The setting is a doubling metric measure space supporting a Poincar\'e inequality.

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Antonella Nastasi, Cintia Pacchiano Camacho. 2022-03-15. Higher integrability and stability of $(p,q)$-quasiminimizers. https://doi.org/10.1016/j.jde.2022.09.031

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