28 citations · 97 across the 35 of their papers we have counts for
6 papers · 1 filter
A Note on Alberti's Luzin-Type Theorem for Gradients
Siran Li
We give a "soft" proof of Alberti's Luzin-type theorem in [1] (G. Alberti, A Lusintype theorem for gradients, J. Funct. Anal. 100 (1991)), using elementary geometric measure theory…
-maps with positive distributional Jacobians
Siran Li, Armin Schikorra
We extend the well-known result that any , with strictly positive Jacobian is actually continuous: it is also true for fracti…
Towards a Theory of Multi-Parameter Geometrical Variational Problems: Fibre Bundles, Differential Forms and Riemannian Quasiconvexity
Siran Li
We are concerned with the relaxation and existence theories of a general class of geometrical minimisation problems, with action integrals defined via differential forms over fibre…
Weak Continuity of the Cartan Structural System and Compensated Compactness on Semi-Riemannian Manifolds with Lower Regularity
Gui-Qiang G. Chen, Siran Li
We are concerned with the global weak continuity of the Cartan structural system -- or equivalently, the Gauss--Codazzi--Ricci system -- on semi-Riemannian manifolds with lower reg…
Cartan--Whitney Presentation, Non-smooth Analysis and Smoothability of Manifolds: On a theorem of Kondo--Tanaka
Siran Li
Using tools and results from geometric measure theory, we give a simple new proof of the main result (Theorem 1.3) in K. Kondo and M. Tanaka, Approximation of Lipschitz Maps via Im…
Counterexamples to the -Calderón--Zygmund Estimate on Open Manifolds
Siran Li
Based on a construction due to B. Güneysu and S. Pigola (\textit{Adv. Math.} \textbf{281} (2015), pp.353--393), for each and , we exhi…