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On the continuity of solutions to anisotropic elliptic operators in the limiting case
Simone Ciani, Eurica Henriques, Igor I. Skrypnik
Source abstract
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.
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