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math.AP2026
Variable Exponent Regularity via Muckenhoupt Condition
Daviti Adamadze, Anna Kh. Balci, Lars Diening
For the first time, we establish higher integrability of the gradient and local estimates of weak solutions to the -Laplacian without assuming -Hölder contin…
math.NA2026
Sobolev stability of the -projection on hybrid meshes
Lars Diening, Viktoria Lingert, Tabea Tscherpel
We establish - and -stability of the -projection onto mapped Lagrange finite elements on hybrid meshes consisting of triangles and convex quadrilaterals arising…