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- W4387162588 abstract "We are interested in the regularity of weak solutions $u$ to the elliptic equation in divergence form; precisely in their local boundedness and their local Lipschitz continuity under general growth conditions, the so called $p,q-$growth conditions. We found a unique set of assumptions to get all these regularity properties at the same time; in the meantime we also found the way to treat a more general context, with explicit dependence on $( x,u) $, other than on the gradient variable $xi =Du$; these aspects require particular attention due to the $p,q-$context, with some differences and new difficulties compared to the standard case $p=q$." @default.
- W4387162588 created "2023-09-30" @default.
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- W4387162588 date "2023-09-27" @default.
- W4387162588 modified "2023-10-14" @default.
- W4387162588 title "Regularity for nonuniformly elliptic equations with $p,q-$growth and explicit $x,u-$dependence" @default.
- W4387162588 doi "https://doi.org/10.48550/arxiv.2309.15804" @default.
- W4387162588 hasPublicationYear "2023" @default.
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