Xiaosong Kang

Wuhan University — China

Mathematics · Physical Sciences

7h-index427citations13works0.02yr avg
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Research Topics

Nonlinear Partial Differential Equations(8), Geometric Analysis and Curvature Flows(4), Advanced Mathematical Physics Problems(4), Geometry and complex manifolds(3), Rheology and Fluid Dynamics Studies(2)

Publications13 total

The Morse criticality revisited and some new applications to the Morse–Sard theorem
manuscripta mathematica·2019
On Manifolds with Lower Quadratic Curvature Decay and Volume Pinching
International Mathematics Research Notices·2018
Classification of solutions of porous medium equation with localized reaction in higher space dimensions
Differential and Integral Equations·2011· 10 citedOpen Access
The Pattern of Multiple Rings from Morphogenesis in Development
Journal of Nonlinear Science·2010· 12 cited
Topics in singular boundary value problems, evolution equations and mass transport
Open Collections·2009Open Access
Ring pattern solutions of a free boundary problem in diblock copolymer morphology
Physica D Nonlinear Phenomena·2008· 18 cited
Hardy–Sobolev critical elliptic equations with boundary singularities
Annales de l Institut Henri Poincaré C Analyse Non Linéaire·2004· 142 cited
Localization for a porous medium type equation in high dimensions
Transactions of the American Mathematical Society·2004· 13 citedOpen Access
Geometric inequalities via a general comparison principle for interacting gases
Geometric and Functional Analysis·2004· 70 cited
Geometric inequalities via a general comparison principle for interacting gases
arXiv (Cornell University)·2003· 1 citedOpen Access
The optimal evolution of the free energy of interacting gases and its applications
Comptes Rendus Mathématique·2003· 4 cited
The mother of most Gaussian and Euclidean inequalities
2002
On interacting bumps of semi-classical states of nonlinear Schrödinger equations
Advances in Differential Equations·2000· 157 citedOpen Access

Frequent Co-authors

Nassif Ghoussoub(5), Martial Agueh(4), Xiaofeng Ren(2), Xu Xu(2), Dunmu Zhang(2), Juncheng Wei(1), Changfeng Gui(1), Wenbiao Wang(1), Xiaofang Zhou(1)