On the continuity of solutions to anisotropic elliptic operators in the limiting case
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.
Authors
- Igor I. Skrypnik (ORCID: https://orcid.org/0000-0002-7398-9273)
- Eurica Henriques (ORCID: https://orcid.org/0000-0003-0844-5277)
- Simone Ciani (ORCID: https://orcid.org/0000-0001-7065-4163)
Institutions
- National Academy of Sciences of Ukraine (UA)
- University of Trás-os-Montes and Alto Douro (PT)
- Institute of Applied Mathematics and Mechanics (UA)
- University of Bologna (IT)
- University of Minho (PT)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-03-09
- DOI
- https://doi.org/10.1112/blms.70047
- Primary Topic
- Nonlinear Partial Differential Equations
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Simons Foundation
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Fuel Cell Technologies Program