Gradient higher integrability for double phase problems on metric measure spaces

Juha Kinnunen, Antonella Nastasi, Cintia Pacchiano Camacho

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We study local and global higher integrability properties for quasiminimizers of a class of double phase integrals characterized by nonstandard growth conditions. We work purely on a variational level in the setting of a metric measure space with a doubling measure and a Poincaré inequality. The main novelty is an intrinsic approach to double phase Sobolev-Poincaré inequalities.

Original languageEnglish
Pages (from-to)1233-1251
Number of pages19
JournalProceedings of the American Mathematical Society
Volume152
Issue number3
DOIs
Publication statusPublished - 18 Jan 2024
MoE publication typeA1 Journal article-refereed

Keywords

  • double phase problems
  • Quasiminimizers
  • reverse Hölder inequalities

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