Boundary regularity results for minimisers of convex functionals with (p, q)-growth

We prove improved differentiability results for relaxed minimisers of vectorial convex functionals with (p,q)\left(p,q)-growth, satisfying a Hölder-growth condition in xx. We consider both Dirichlet and Neumann boundary data. In addition, we obtain a characterisation of regular boundary points for s...

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Bibliographic Details
Main Authors: Irving Christopher, Koch Lukas
Format: Article
Language:English
Published: De Gruyter 2023-12-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2023-0110