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arXiv · 2511.20898

Self-improving property for certain degenerate functionals with generalized Orlicz growth

Vertti Hietanen·Mikyoung Lee
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Abstract

We investigate a self-improving property of variational integrals in a weighted framework under generalized Orlicz growth conditions. Assuming that the weight belongs to an appropriate Muckenhoupt class and the growth function satisfies standard structural conditions, we prove that the gradient of any local quasiminimizer has local higher integrability. In addition, we establish the existence of minimizers for the associated functional.

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Vertti Hietanen, Mikyoung Lee. 2025-11-25. Self-improving property for certain degenerate functionals with generalized Orlicz growth. https://arxiv.org/abs/2511.20898

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