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- Title
Absence and presence of Lavrentiev's phenomenon for double phase functionals upon every choice of exponents.
- Authors
Borowski, Michał; Chlebicka, Iwona; De Filippis, Filomena; Miasojedow, Błażej
- Abstract
We study classes of weights ensuring the absence and presence of the Lavrentiev's phenomenon for double phase functionals upon every choice of exponents. We introduce a new sharp scale for weights for which there is no Lavrentiev's phenomenon up to a counterexample we provide. This scale embraces the sharp range for α -Hölder continuous weights. Moreover, it allows excluding the gap for every choice of exponents q , p > 1 .
- Subjects
FUNCTIONALS; EXPONENTS
- Publication
Calculus of Variations & Partial Differential Equations, 2024, Vol 63, Issue 2, p1
- ISSN
0944-2669
- Publication type
Article
- DOI
10.1007/s00526-023-02640-1