Regularity for Double Phase Functionals with Two Modulating Coefficients

Bogi Kim; Jehan Oh

doi:10.1007/s12220-024-01584-y

Regularity for Double Phase Functionals with Two Modulating Coefficients

Bogi Kim, Jehan Oh

Kyungpook National University

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

Abstract

In this paper, we establish regularity results for local minimizers of functionals with non-standard growth conditions and non-uniform ellipticity properties. The model case is given by the double phase integral with two modulating coefficients (Formula presented.) with 0<μ≤a(·)+b(·). Here, the coefficient b(·) is assumed to be Hölder continuous and the coefficient a(·) is assumed to be uniformly continuous.

Original language	English
Article number	134
Journal	Journal of Geometric Analysis
Volume	34
Issue number	5
DOIs	https://doi.org/10.1007/s12220-024-01584-y
State	Published - May 2024

Keywords

Double phase problem
Minimizer
Nonstandard growth
Primary 35B65
Regularity
Secondary 35J70, 49N60, 35A15

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10.1007/s12220-024-01584-y

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Regularity for Double Phase Functionals with Two Modulating Coefficients

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