This analysis demonstrates local boundedness and Hölder continuity in minimizers for perturbed variable exponent double phase functionals, indicating regularity.
Regularity of local minimizers for perturbed variable exponent double phase functionals is discussed. We focus on show that minimizers for the functionals are locally bounded and locally Hölder continuous by using the De Giorgi iteration.
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Dong et al. (2025) studied this question.
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