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

Sumiya Baasandorj, Sun-Sig Byun, Wontae Kim

Research output: Contribution to journalArticleScientificpeer-review

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 languageEnglish
Pages (from-to)8733-8768
Number of pages36
JournalTransactions of the American Mathematical Society
Volume376
Issue number12
Early online date29 Sept 2023
DOIs
Publication statusPublished - Dec 2023
MoE publication typeA1 Journal article-refereed

Keywords

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

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