Self-improving Properties of Very Weak Solutions to Double Phase Systems

Sumiya Baasandorj; Sun-Sig Byun; Wontae Kim

doi:10.1090/tran/9039

Self-improving Properties of Very Weak Solutions to Double Phase Systems

Sumiya Baasandorj, Sun-Sig Byun, Wontae Kim

Seoul National University

Research output: Contribution to journal › Article › Scientific › peer-review

4 Citations (Scopus)

Abstract

We prove the self-improving property of very weak solutions to non-uniformly elliptic problems of double phase type in divergence form under sharp assumptions on the nonlinearity.

Original language	English
Pages (from-to)	8733-8768
Number of pages	36
Journal	Transactions of the American Mathematical Society
Volume	376
Issue number	12
Early online date	29 Sept 2023
DOIs	https://doi.org/10.1090/tran/9039
Publication status	Published - Dec 2023
MoE publication type	A1 Journal article-refereed

Keywords

Gehring lemma
Lipschitz truncation and Whitney covering
Very weak solution
Double phase problems
Non-standard growth

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10.1090/tran/9039

https://arxiv.org/abs/2207.07853

Cite this

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title = "Self-improving Properties of Very Weak Solutions to Double Phase Systems",

abstract = "We prove the self-improving property of very weak solutions to non-uniformly elliptic problems of double phase type in divergence form under sharp assumptions on the nonlinearity. ",

keywords = "Gehring lemma, Lipschitz truncation and Whitney covering, Very weak solution, Double phase problems, Non-standard growth",

author = "Sumiya Baasandorj and Sun-Sig Byun and Wontae Kim",

year = "2023",

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AU - Byun, Sun-Sig

AU - Kim, Wontae

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N2 - We prove the self-improving property of very weak solutions to non-uniformly elliptic problems of double phase type in divergence form under sharp assumptions on the nonlinearity.

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KW - Very weak solution

KW - Double phase problems

KW - Non-standard growth

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Self-improving Properties of Very Weak Solutions to Double Phase Systems

Abstract

Keywords

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