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Distance Regularized Level Set Evolution and Its Application to Image Segmentation

IEEE transactions on image processing, 2010-12, Vol.19 (12), p.3243-3254

2010

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Some geometric inequalities related to Liouville equation

Mathematische Zeitschrift, 2023-11, Vol.305 (3), Article 40

2023

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Some energy estimates for stable solutions to fractional Allen–Cahn equations

Calculus of variations and partial differential equations, 2020-04, Vol.59 (2), Article 49

2020

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Extensions and traces of BV functions in rough domains and generalized Cheeger sets

Calculus of variations and partial differential equations, 2023-03, Vol.62 (2), Article 38

2023

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On smooth interior approximation of sets of finite perimeter

Proceedings of the American Mathematical Society, 2023-05, Vol.151 (5), p.1949

2023

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Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector

Calculus of variations and partial differential equations, 2021-08, Vol.60 (4), Article 130

2021

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Uniqueness of solutions of mean field equations in R^2

Proceedings of the American Mathematical Society, 2018-03, Vol.146 (3), p.1231

2018

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Semi-waves with \Lambda-shaped free boundary for nonlinear Stefan problems: Existence

Proceedings of the American Mathematical Society, 2021-05, Vol.149 (5), p.2091-2104

2021

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Completion of $\mathbb{R}^2$ with a Conformal Metric as a Closed Surface

Analysis in theory & applications, 2021-01, Vol.37 (1), p.59-73

2021

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Axially symmetric solutions of the Allen-Cahn equation with finite Morse index

Transactions of the American Mathematical Society, 2020-05, Vol.373 (5), p.3649-3668

2020

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Bubbling solutions of fourth order mean field equations on S4

Science China. Mathematics, 2023, Vol.66 (6), p.1217-1236

2023

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The sphere covering inequality and its applications

Inventiones mathematicae, 2018-12, Vol.214 (3), p.1169-1204

2018

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Multiple Axially Asymmetric Solutions to a Mean Field Equation on $\mathbb{S}^{2}

Analysis in theory & applications, 2020-01, Vol.36 (1), p.19-32

2020

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Symmetric Quadruple Phase Transitions

Indiana University mathematics journal, 2008-01, Vol.57 (2), p.781-836

2008

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Level set evolution without re-initialization: a new variational formulation

2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05), 2005, Vol.1, p.430-436 vol. 1

2005

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Layered solutions for a fractional inhomogeneous Allen–Cahn equation

Nonlinear differential equations and applications, 2016-06, Vol.23 (3), Article 29

2016

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Further study on periodic solutions of elliptic equations with a fractional Laplacian

Nonlinear analysis, 2020-04, Vol.193, p.111417, Article 111417

2020

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Periodic solutions of Allen–Cahn system with the fractional Laplacian

Nonlinear analysis, 2020-12, Vol.201, p.112061, Article 112061

2020

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On Nodal Solutions of the Nonlinear Choquard Equation

Advanced nonlinear studies, 2019-11, Vol.19 (4), p.677-691

2019

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Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian

Annales de l'Institut Henri Poincaré. Analyse non linéaire, 2015-07, Vol.32 (4), p.785-812

2015

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Two-dimensional solutions of a mean field equation on flat tori

Journal of Differential Equations, 2020-11, Vol.269 (11), p.10239-10276

2020

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Symmetry of some entire solutions to the Allen–Cahn equation in two dimensions

Journal of Differential Equations, 2012-06, Vol.252 (11), p.5853-5874

Gui, Changfeng

2012

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Nodal solutions of a nonlocal Choquard equation in a bounded domain

Communications in contemporary mathematics, 2021-05, Vol.23 (3), p.1950067

2021

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Symmetry of Solutions of a Mean Field Equation on Flat Tori

International mathematics research notices, 2019-02, Vol.2019 (3), p.799-809

2019

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On nonlocal systems with jump processes of finite range and with decays

Journal of Differential Equations, 2020-03, Vol.268 (6), p.3171-3200

2020

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Distance Regularized Level Set Evolution and Its Application to Image Segmentation

Some geometric inequalities related to Liouville equation

Some energy estimates for stable solutions to fractional Allen–Cahn equations

Extensions and traces of BV functions in rough domains and generalized Cheeger sets

On smooth interior approximation of sets of finite perimeter

Symmetry of positive solutions of elliptic equations with mixed boundary conditions in a super-spherical sector

Uniqueness of solutions of mean field equations in R^2

Semi-waves with \Lambda-shaped free boundary for nonlinear Stefan problems: Existence

Completion of $\mathbb{R}^2$ with a Conformal Metric as a Closed Surface

Axially symmetric solutions of the Allen-Cahn equation with finite Morse index

Bubbling solutions of fourth order mean field equations on S4

The sphere covering inequality and its applications

Multiple Axially Asymmetric Solutions to a Mean Field Equation on $\mathbb{S}^{2}

Symmetric Quadruple Phase Transitions

Level set evolution without re-initialization: a new variational formulation

Layered solutions for a fractional inhomogeneous Allen–Cahn equation

Further study on periodic solutions of elliptic equations with a fractional Laplacian

Periodic solutions of Allen–Cahn system with the fractional Laplacian

On Nodal Solutions of the Nonlinear Choquard Equation

Traveling wave solutions of Allen–Cahn equation with a fractional Laplacian

Two-dimensional solutions of a mean field equation on flat tori

Symmetry of some entire solutions to the Allen–Cahn equation in two dimensions

Nodal solutions of a nonlocal Choquard equation in a bounded domain

Symmetry of Solutions of a Mean Field Equation on Flat Tori

On nonlocal systems with jump processes of finite range and with decays

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