Work

On the continuity of solutions to anisotropic elliptic operators in the limiting case

Year: 2025

Type: article

Abstract: We show that local weak solutions to anisotropic elliptic equations with bounded and measurable coefficients, whose prototype is 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.

Source: Bulletin of the London Mathematical Society

DOI: 10.1112/blms.70047

Authors: Simone Ciani, Eurica Henriques, Igor I. Skrypnik

Institutions: University of Bologna, University of Trás-os-Montes and Alto Douro, Centro de Matemática Pólo da Universidade de Trás-os-Montes e Alto Douro, Centro de Matemática, University of Minho, National Academy of Sciences of Ukraine, Institute of Applied Mathematics and Mechanics

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,930

Funders: Simons Foundation, Istituto Nazionale di Alta Matematica "Francesco Severi", Fuel Cell Technologies Program

OpenAlex ID: W4408386080

FWCI:

Cites: 42

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Related to: 10