Výsledky vyhledávání - "Bianca, Vincenzo"

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Transmission problems: regularity theory, interfaces and beyond

Autor: Bianca, Vincenzo, Pimentel, Edgard A., Urbano, José Miguel

Modelling diffusion processes in heterogeneous media requires addressing inherent discontinuities across interfaces, where specific conditions are to be met. These challenges fall under the purview of Mathematical Analysis as \emph{transmission probl

Externí odkaz: http://arxiv.org/abs/2306.15570

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Improved regularity for a Hessian-dependent functional

Autor: Bianca, Vincenzo, Pimentel, Edgard A., Urbano, José Miguel

We prove that minimizers of the $L^{d}$-norm of the Hessian in the unit ball of $\mathbb{R}^d$ are locally of class $C^{1,\alpha}$. Our findings extend previous results on Hessian-dependent functionals to the borderline case and resonate with the H\"

Externí odkaz: http://arxiv.org/abs/2306.10995

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BMO-regularity for a degenerate transmission problem

Autor: Bianca, Vincenzo, Pimentel, Edgard A., Urbano, José Miguel

We examine a transmission problem driven by a degenerate quasilinear operator with a natural interface condition. Two aspects of the problem entail genuine difficulties in the analysis: the absence of representation formulas for the operator and the

Externí odkaz: http://arxiv.org/abs/2301.01171

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