2022
On analysis of the exponential map of volume-preserving diffeomorphism group on closed orientable surfaces through the vorticity
submitted to J. Funct. Anal. (2022), ArXiv Preprint: 2204.09497. [link]
Fractional Sobolev isometric immersions of planar domains
with M. R. Pakzad, and A. Schikorra
accepted by Annali della Scuola Normale Superiore di Pisa (2022), ArXiv Preprint: 2103.01723. [link]
A New Proof of Gaffney’s Inequality for Differential Forms on Manifolds-with-Boundary: The Variational Approach à La Kozono-Yanagisawa
Acta Math. Scientia 42 (2022), 1427--1452. [link]
On asymptotic rigidity and continuity problems in nonlinear elasticity
with G.-Q. Chen and M. Slemrod
J. Math. Pures Appl. (9) 160 (2022), 29--53. [link]
2021
Weak continuity of Cartan's structural equation on semi-Riemannian manifolds with lower regularity
with G.-Q. Chen
Arch. Ration. Mech. Anal. 241 (2021), 579--641. [link]
Stability of minimising harmonic maps under W^{1,p}-perturbations of boundary data: p ≥ 2
J. Diff. Eqs. 296 (2021), 279--298. [link]
Volume decay and concentration of high-dimensional Euclidean balls --- a PDE and variational perspective
Analysis (Germany) 41 (2021), 25--29. [link]
The Weyl problem of isometric immersions revisited
Bull. Lond. Math. Soc. 53 (2021), 220--230. [link]
A note on Alberti's Luzin-type theorem for gradients
Ricerche Mat. 70 (2021), 479--488. [link]
2020
W^{s, \frac{n}{s}}-maps with positive distributional Jacobians
with A. Schikorra
Potential Anal. 55 (2020), 403--417. [link]
Towards a theory of multi-parameter geometrical variational problems: fibre bundles, differential forms, and Riemannian quasiconvexity
Quart. Appl. Math. 78 (2020), 469--483. [link]
A note on generic transversality of Euclidean submanifolds
Manuscripta Math. 162 (2020), 213--219. [link]
A remark on the non-compactness of W^{2,d}-immersions of d-dimensional hypersurfaces
Proc. Amer. Math. Soc. 148 (2020), 2245--2255. [link]
Counterexamples to the L^p-Calderón--Zygmund estimate on open manifolds
Ann. Glob. Anal. Geom. 57 (2020), 61--70. [link]
On the existence of C^{1,1}-isometric immersions of several classes of negatively curved surfaces into ℝ^3
Arch. Ration. Mech. Anal. 236 (2020), 419--449. [link]
2018
Global weak rigidity of the Gauss--Codazzi--Ricci equations and isometric immersions of Riemannian manifolds with lower regularity
with G.-Q. Chen
J. Geom. Anal. 28 (2018), 1957--2007. [link]