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2023-05-29

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cc-by (c) Clop et al., 2023
Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/221444

Higher differentiability results for solutions to a class of non-homogeneous elliptic problems under sub-quadratic growth conditions

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https://doi.org/https://doi.org/10.1142/S166436072350008X

Abstract

We prove a sharp higher differentiability result for local minimizers of functionals of the form $$ \mathscr{F}(w, \Omega)=\int_{\Omega}[F(x, D w(x))-f(x) \cdot w(x)] d x $$ with non-autonomous integrand $F(x, \xi)$ which is convex with respect to the gradient variable, under $p$-growth conditions, with $1

Subject

Funcions convexes, Equacions diferencials el·líptiques, Teoria de control

Subject (English)

Convex functions, Elliptic differential equations, Control theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

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CLOP, Albert, GENTILE, Andrea and PASSARELLI DI NAPOLI, Antonia. Higher differentiability results for solutions to a class of non-homogeneous elliptic problems under sub-quadratic growth conditions. Bulletin Of Mathematical Sciences. 2023. Vol. 13, num. 2. ISSN 1664-3607. [consulted: 10 of June of 2026]. Available at: https://hdl.handle.net/2445/221444

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