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math.AP2025
Isometric Immersions and Weak Solutions to the Darboux Equation
Wentao Cao, Jonas Hirsch, Dominik Inauen
We study the Darboux equation, a fundamental PDE arising in the theory of isometric immersions of two-dimensional Riemannian manifolds into , in the low-regularity re…
math.AP2025
A Nash-Kuiper theorem for isometric immersions beyond Borisov's exponent
Wentao Cao, Jonas Hirsch, Dominik Inauen
Given any short immersion from an -dimensional bounded and simply connected domain into and any Hölder exponent , we construct a …