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arXiv · 2606.24293

Regularity for Minimizers of non Autonomous Singular Functionals with Anisotropic Growth

Albert Clop·Antonia Passarelli di Napoli·Stefania Russo
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Abstract

We establish the higher differentiability of the local minimizers to a class of non autonomous convex integral functionals satisfying anisotropic subquadratic growth conditions, that include, as a particular case, those with orthotropic structure. The result is obtained under a gap bound on the exponents \(p_i\), that guarantees the local boundedness of the minimizers and under a suitable Sobolev assumption on the map that measures the oscillation of the energy density with respect to the $x$ variable, that is independent on the dimension.

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Albert Clop, Antonia Passarelli di Napoli, Stefania Russo. 2026-06-23. Regularity for Minimizers of non Autonomous Singular Functionals with Anisotropic Growth. https://arxiv.org/abs/2606.24293

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