We show that local weak solutions to anisotropic elliptic equations with bounded and measurable coefficients are continuous. Our analysis exploits a particular intrinsic geometry that, within the limiting case on the exponents, allows for a reduction of the oscillation of the solution.
Ciani, S., Henriques, E., Skrypnik, I.I. (2025). On the continuity of solutions to anisotropic elliptic operators in the limiting case. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 57(5), 1548-1567 [10.1112/blms.70047].
On the continuity of solutions to anisotropic elliptic operators in the limiting case
Ciani, Simone
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2025
Abstract
We show that local weak solutions to anisotropic elliptic equations with bounded and measurable coefficients are continuous. Our analysis exploits a particular intrinsic geometry that, within the limiting case on the exponents, allows for a reduction of the oscillation of the solution.File in questo prodotto:
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