Kelei Wang

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Person:289826

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List of research outcomes





PublicationDate of PublicationType
Blow up analysis for a parabolic MEMS problem. I: Hölder estimate2024-08-15Paper
On Dancer's conjecture for stable solutions with sign-changing nonlinearity2024-07-03Paper
Nondegeneracy for stable solutions to the one-phase free boundary problem2024-02-21Paper
On Dancer's conjecture for stable solutions with sign-changing nonlinearity2023-12-01Paper
Qualitative properties of stable solutions to some supercritical problems2023-04-17Paper
Blow up analysis for Keller-Segel system2022-10-21Paper
Four end solutions of a free boundary problem2022-06-03Paper
On Smooth Solutions to One Phase-Free Boundary Problem in ℝn2022-01-12Paper
Recent progress on stable and finite Morse index solutions of semilinear elliptic equations2021-12-03Paper
Lipschitz property of bistable or combustion fronts and its applications2021-11-16Paper
Simons cone and saddle solutions of the Allen-Cahn equation2021-07-20Paper
A generalized one phase Stefan problem as a vanishing viscosity limit2021-05-14Paper
Semi-waves with Λ-shaped free boundary for nonlinear Stefan problems: Existence2021-03-30Paper
Refined blowup analysis and nonexistence of Type II blowups for an energy critical nonlinear heat equation2021-01-18Paper
Half-space theorems for the Allen-Cahn equation and related problems2021-01-08Paper
Axially symmetric solutions of the Allen-Cahn equation with finite Morse index2020-04-09Paper
Stability of the saddle solutions for the Allen-Cahn equation2020-01-21Paper
Second order estimate on transition layers2019-11-14Paper
Stable and finite Morse index solutions of Toda system2019-10-14Paper
On Serrin’s overdetermined problem and a conjecture of Berestycki, Caffarelli and Nirenberg2019-06-12Paper
Finite Morse Index Implies Finite Ends2019-06-07Paper
Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces2019-01-22Paper
On a free boundary problem and minimal surfaces2018-05-08Paper
Some remarks on the structure of finite Morse index solutions to the Allen-Cahn equation in \({\mathbb R}^2\)2018-01-11Paper
Global minimizers of the Allen-Cahn equation in dimension \(n\geq 8\)2017-11-22Paper
Uniform Lipschitz regularity of flat segregated interfaces in a singularly perturbed problem2017-10-25Paper
A new proof of Savin's theorem on Allen-Cahn equations2017-10-12Paper
On one phase free boundary problem in $\mathbb{R}^{N}$2017-05-20Paper
On the uniqueness of solutions of a nonlocal elliptic system2016-05-31Paper
Qualitative analysis of rupture solutions for a MEMS problem2015-12-23Paper
Analysis of Blow-up Locus and Existence of Weak Solutions for Nonlinear Supercritical Problems2015-06-08Paper
The structure of finite Morse index solutions to two free boundary problems in $\mathbb{R}^2$2015-06-01Paper
Harmonic approximation and improvement of flatness in a singular perturbation problem2015-01-19Paper
The singular limit problem in a phase separation model with different diffusion rates2014-12-08Paper
On the De Giorgi Type Conjecture for an Elliptic System Modeling Phase Separation2014-08-08Paper
Monotonicity formula and \(\varepsilon\)-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions2014-08-01Paper
Regularity and asymptotic behavior of nonlinear Stefan problems2014-06-06Paper
A monotonicity formula and a Liouville-type theorem for a fourth order supercritical problem2014-04-15Paper
Solutions with Polynomial Growth to an Autonomous Nonlinear Elliptic Problem2014-02-11Paper
On entire solutions of an elliptic system modeling phase separations2014-01-15Paper
Erratum to: ``Partial regularity of stable solutions to the Emden equation2013-05-07Paper
Addendum to ``The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture [J. Funct. Anal. 262 (3) (2012) 1087--1131]2013-03-04Paper
Free Boundary Problems and Asymptotic Behavior of Singularly Perturbed Partial Differential Equations2012-12-03Paper
Partial regularity of stable solutions to the supercritical equations and its applications2012-07-16Paper
Partial regularity of stable solutions to the Emden equation2012-06-07Paper
The limit equation for the Gross-Pitaevskii equations and S. Terracini's conjecture2012-03-05Paper
Dynamics of strongly competing systems with many species2012-02-24Paper
Uniform Hölder estimate for singularly perturbed parabolic systems of Bose-Einstein condensates and competing species2011-10-12Paper
Some new results in competing systems with many species2010-04-08Paper
Existence and non-existence of solutions for a class of Monge-Ampère equations2009-04-29Paper
On fixed point theorems of mixed monotone operators and applications2009-04-02Paper
"Blow up analysis for a parabolic MEMS problem, I: H\""{o}lder estimate"N/APaper
Some new bistable transition fronts with changing shapeN/APaper

Research outcomes over time

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