Properties of Minimizers of Average-Distance Problem via Discrete Approximation of Measures. - Xin Yang Lu; Dejan Slepcev (SIAM J. Math. Anal., 2013)

Regularity of densities in relaxed and penalized average distance problem. - Xin Yang Lu (Networks Heterog. Media, 2015)

On the Solutions of a 2+1 -Dimensional Model for Epitaxial Growth with Axial Symmetry. - Xin Yang Lu (J. Nonlinear Sci., 2018)

Switching Mechanism in the B1RevTilted Phase of Bent-Core Liquid Crystals. - Carlos J. García-Cervera; Tiziana Giorgi; Sookyung Joo; Xin Yang Lu (SIAM J. Math. Anal., 2018)

An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems. - Huaiqian You; Xin Yang Lu; Nathaniel Trask; Yue Yu (CoRR, 2019)

Regularity of a Gradient Flow Generated by the Anisotropic Landau-de Gennes Energy with a Singular Potential. - Yuning Liu; Xin Yang Lu; Xiang Xu (SIAM J. Math. Anal., 2021)

Real order total variation with applications to the loss functions in learning schemes. - Pan Liu; Xin Yang Lu; Kunlun He (CoRR, 2022)

Blowup Rate Estimates of a Singular Potential and Its Gradient in the Landau-de Gennes Theory. - Xin Yang Lu; Xiang Xu; Wujun Zhang (J. Nonlinear Sci., 2022)

The Average Distance Problem with Perimeter-to-Area Ratio Penalization. - Qiang Du 001; Xin Yang Lu; Chong Wang 025 (SIAM J. Math. Anal., 2022)

Analysis of a dislocation model for earthquakes. - Jing Liu; Xin Yang Lu; Noel J. Walkington (CoRR, 2024)

Core Shells and Double Bubbles in a Weighted Nonlocal Isoperimetric Problem. - Stanley Alama; Lia Bronsard; Xin Yang Lu; Chong Wang 025 (SIAM J. Math. Anal., 2024)

An Energy Matching Vessel Segmentation Framework in 3-D Medical Images. - Pan Liu; Gao Huang 001; Jing Jing 002; Suyan Bian; Liuquan Cheng; Xin Yang Lu; Chongyou Rao; Yu Liu; Yun Hua; Yongjun Wang; Kunlun He (IEEE Trans. Medical Imaging, 2024)