We work with a double-phase energy functional exhibiting logL-perturbed p&q-growth. We look for regularity properties of such functional in the setting of Musielak-Orlicz-Sobolev space, by imposing suitable conditions on the data. We further obtain the existence and uniqueness results for the solution of perturbed Dirichlet double-phase problems. We deal with both the cases of uncontrolled growth and controlled growth.
Vetro C., Zeng S. (2024). Regularity and Dirichlet Problem for Double-Phase Energy Functionals of Different Power Growth. THE JOURNAL OF GEOMETRIC ANALYSIS, 34(4), 1-27 [10.1007/s12220-024-01545-5].
Regularity and Dirichlet Problem for Double-Phase Energy Functionals of Different Power Growth
Vetro C.;
2024-02-17
Abstract
We work with a double-phase energy functional exhibiting logL-perturbed p&q-growth. We look for regularity properties of such functional in the setting of Musielak-Orlicz-Sobolev space, by imposing suitable conditions on the data. We further obtain the existence and uniqueness results for the solution of perturbed Dirichlet double-phase problems. We deal with both the cases of uncontrolled growth and controlled growth.
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