Jiayin Liu

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All published works
Action Title Year Authors
+ A quantitative second order estimate for (weighted) p-harmonic functions in manifolds under curvature-dimension condition 2024 Jiayin Liu
Shijin Zhang
Yuan Zhou
+ Boundedness and higher integrability of minimizers to a class of two-phase free boundary problems under non-standard growth conditions 2024 Jiayin Liu
Jun Zheng
+ PDF Chat Existence of Hyperbolic Motions to a Class of Hamiltonians and Generalized N-Body System via a Geometric Approach 2023 Jiayin Liu
Duokui Yan
Yuan Zhou
+ PDF Chat A Rademacher type theorem for Hamiltonians H(x, p) and an application to absolute minimizers 2023 Jiayin Liu
Yuan Zhou
+ PDF Chat Dimension estimates on circular (s,t)-Furstenberg sets 2023 Jiayin Liu
+ On the Hausdorff dimension of circular Furstenberg sets 2023 Katrin FĂ€ssler
Jiayin Liu
Tuomas Orponen
+ Restricted Projections to Lines in $\mathbb{R}^{n+1}$ 2023 Jiayin Liu
+ Dimension Estimates on Circular $(s,t)$-Furstenberg Sets 2022 Jiayin Liu
+ A Rademacher type theorem for Hamiltonians $H(x,p)$ and application to absolute minimizers 2022 Jiayin Liu
Yuan Zhou
+ PDF Chat Existence, stability and asymptotic behaviour of normalized solutions for the Davey-Stewartson system 2022 Zhiqian He
Binhua Feng
Jiayin Liu
+ PDF Chat A quantitative second order estimate for (weighted) $p$-harmonic functions in manifolds under curvature-dimension condition 2021 Jiayin Liu
Shijin Zhang
Yuan Zhou
+ PDF Chat Existence of hyperbolic motions to a class of Hamiltonians and generalized $N$-body system via a geometric approach 2021 Jiayin Liu
Duokui Yan
Yuan Zhou
+ On the dimension of Kakeya sets in the first Heisenberg group 2021 Jiayin Liu
+ Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement 2021 Jiayin Liu
Zhiqian He
Binhua Feng
+ HW<sup>2,2</sup> <sub>loc</sub>-regularity for <i>p</i>-harmonic functions in Heisenberg groups 2021 Jiayin Liu
Fa Peng
Yuan Zhou
+ PDF Chat Blow-up criteria and instability of standing waves for the inhomogeneous fractional Schrodinger equation 2021 Binhua Feng
Zhiqian He
Jiayin Liu
+ PDF Chat Positive radial solutions for a noncooperative resonant nuclear reactor model with sign-changing nonlinearities 2021 Ruipeng Chen
Jiayin Liu
Guangchen Zhang
Xiangyu Kong
+ Positive Periodic Solutions for a Class of Strongly Coupled Differential Systems with Singular Nonlinearities 2021 Ruipeng Chen
Guangchen Zhang
Jiayin Liu
+ A quantitative second order estimate for (weighted) $p$-harmonic functions in manifolds under curvature-dimension condition 2021 Jiayin Liu
Shijin Zhang
Yuan Zhou
+ Existence of hyperbolic motions to a class of Hamiltonians and generalized $N$-body system via a geometric approach 2021 Jiayin Liu
Duokui Yan
Yuan Zhou
+ $HW^{2,2}_{\rm loc}$-regularity for $p$-harmonic functions in Heisenberg groups 2021 Jiayin Liu
Fa Peng
Yuan Zhou
+ On the Dimension of Kakeya Sets in the First Heisenberg Group 2021 Jiayin Liu
+ Existence of stable standing waves for the Lee–Huang–Yang corrected dipolar Gross–Pitaevskii equation 2020 Binhua Feng
Leijin Cao
Jiayin Liu
+ PDF Chat Curved fronts of bistable reaction–diffusion equations with nonlinear convection 2020 Hui-Ling Niu
Jiayin Liu
+ PDF Chat Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation 2020 Binhua Feng
Ruipeng Chen
Jiayin Liu
+ Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions 2020 Binhua Feng
Jiayin Liu
Hui-Ling Niu
Binlin Zhang
+ Asymptotic behavior of normalized ground states for the fractional Schrödinger equation with combined L2‐critical and L2‐subcritical nonlinearities 2020 Ruipeng Chen
Jiayin Liu
+ On stability and instability of standing waves for the inhomogeneous fractional Schrodinger equation 2020 Jiayin Liu
+ New SAR Imaging Algorithm via the Optimal Time-Frequency Transform Domain 2020 Zhenli Wang
Qun Wang
Jiayin Liu
Liang Zheng
Jingsong Xu
+ Multiple soliton solutions for a quasilinear Schrödinger equation 2016 Jiayin Liu
Duchao Liu
+ Soliton Solutions for a Singular Schrödinger Equation with Any Growth Exponents 2016 Jiayin Liu
Duchao Liu
Peihao Zhao
+ Positive solutions for a nonlocal problem with a convection term and small perturbations 2016 Jiayin Liu
Li Wang
Peihao Zhao
+ Multiple positive solutions for elliptic problem with concave and convex nonlinearities 2015 Jiayin Liu
Lin Zhao
Peihao Zhao
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Instability of Standing Waves for the Nonlinear Schrödinger–Poisson Equation in the $$L^2$$-Critical Case 2019 Binhua Feng
Ruipeng Chen
Qingxuan Wang
7
+ Stability of Standing Waves for the Nonlinear Fractional Schrödinger Equation 2015 Jian Zhang
Shihui Zhu
6
+ Stability of standing waves for the fractional Schrödinger–Choquard equation 2018 Binhua Feng
Honghong Zhang
5
+ Existence of stable standing waves for the fractional Schrödinger equations with combined nonlinearities 2016 Shihui Zhu
5
+ Orbital stability of standing waves for some nonlinear Schrïżœdinger equations 1982 Thierry Cazenave
Pierre‐Louis Lions
5
+ Stability of standing waves for the fractional Schrödinger–Hartree equation 2017 Binhua Feng
Honghong Zhang
5
+ Semilinear Schrödinger Equations 2003 Thierry Cazenave
4
+ PDF Chat Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation 2020 Binhua Feng
Ruipeng Chen
Jiayin Liu
4
+ PDF Chat On the blow-up solutions for the fractional nonlinear Schrödinger equation with combined power-type nonlinearities 2018 Binhua Feng
4
+ Strong Instability of Standing Waves for the Nonlinear Schrödinger Equation in Trapped Dipolar Quantum Gases 2020 Binhua Feng
Qingxuan Wang
4
+ Sharp energy criteria and singularity of blow-up solutions for the Davey–Stewartson system 2019 Jian Zhang
Shihui Zhu
4
+ PDF Chat Sharp threshold of blow-up and scattering for the fractional Hartree equation 2017 Qing Guo
Shihui Zhu
3
+ PDF Chat Boson Stars as Solitary Waves 2007 JĂŒrg Fröhlich
B. L. G. Jonsson
Enno Lenzmann
3
+ Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential 2005 Jian Zhang
3
+ PDF Chat Fractional Schrödinger equation 2002 Nick Laskin
3
+ PDF Chat On finite time blow-up for the mass-critical Hartree equations 2015 Yonggeun Cho
Gyeongha Hwang
Soonsik Kwon
Sanghyuk Lee
3
+ PDF Chat On the blow-up solutions for the nonlinear Schrödinger equation with combined power-type nonlinearities 2017 Binhua Feng
3
+ PDF Chat On the Cauchy Problem of Fractional Schrödinger Equation with Hartree Type Nonlinearity 2013 Yonggeun Cho
Hichem Hajaiej
Gyeongha Hwang
Tohru Ozawa
3
+ PDF Chat Existence and Stability of Standing Waves for Supercritical NLS with a Partial Confinement 2017 Jacopo Bellazzini
Nabile BoussaĂŻd
Louis Jeanjean
Nicola Visciglia
3
+ Strong instability of standing waves for a fourth-order nonlinear Schrödinger equation with the mixed dispersions 2020 Binhua Feng
Jiayin Liu
Hui-Ling Niu
Binlin Zhang
3
+ PDF Chat A Note on Berestycki-Cazenave's Classical Instability Result for Nonlinear Schrödinger Equations 2008 Stefan Le Coz
3
+ On stability and instability of standing waves for the nonlinear Schrödinger equation with an inverse-square potential 2018 Abdelwahab Bensouilah
Van Duong Dinh
Shihui Zhu
3
+ PDF Chat WELL-POSEDNESS OF NONLINEAR FRACTIONAL SCHR\"ODINGER AND WAVE EQUATIONS IN SOBOLEV SPACES 2018 Van Duong Dinh
3
+ On the blow-up solutions for the nonlinear fractional Schrödinger equation 2016 Shihui Zhu
3
+ Blowup for fractional NLS 2016 Thomas Boulenger
Dominik Himmelsbach
Enno Lenzmann
3
+ Existence of solutions with prescribed norm for semilinear elliptic equations 1997 Louis Jeanjean
3
+ PDF Chat On Fractional Schrödinger Equations in sobolev spaces 2015 Younghun Hong
Yannick Sire
3
+ Normalized standing waves for the Hartree equations 2019 Xiao Luo
3
+ Dual variational methods in critical point theory and applications 1973 Antonio Ambrosetti
Paul H. Rabinowitz
3
+ PDF Chat Global well-posedness and blow-up on the energy space for the inhomogeneous nonlinear Schrödinger equation 2015 Luiz Gustavo Farah
3
+ Blowup of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi>H</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>solutions for a class of the focusing inhomogeneous nonlinear Schrödinger equation 2018 Van Duong Dinh
3
+ PDF Chat On instability of standing waves for the mass-supercritical fractional nonlinear Schrödinger equation 2019 Van Duong Dinh
3
+ Schrödinger equations with a spatially decaying nonlinearity: Existence and stability of standing waves 2008 François Genoud
C. A. Stuart
3
+ Strong instability of standing waves for the fractional Choquard equation 2018 Tarek Saanouni
3
+ PDF Chat Blow-up profile of Bose-Einstein condensate with singular potentials 2017 Thanh Viet Phan
2
+ Normalized solutions for a system of coupled cubic Schrödinger equations on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> 2016 Thomas Bartsch
Louis Jeanjean
Nicola Soave
2
+ PDF Chat The concentration-compactness principle in the Calculus of Variations. The locally compact case, part 1. 1984 Pierre‐Louis Lions
2
+ Stability of Standing Waves for a Generalized Choquard Equation with Potential 2018 Zhipeng Cheng
Minbo Yang
2
+ PDF Chat Soliton solutions for quasilinear Schrödinger equations, I 2002 Jiaquan Liu
Zhiqiang Wang
2
+ PDF Chat Energy estimates and symmetry breaking in attractive Bose–Einstein condensates with ring-shaped potentials 2015 Huan-Song Zhou
Yujin Guo
Xiaoyu Zeng
2
+ Normalized solutions for the Chern–Simons–Schrödinger equation in R^2 2017 Gongbao Li
Xiao Luo
2
+ None 2005 Taoufik Hmidi
Sahbi Keraani
2
+ Existence and mass concentration of 2D attractive Bose–Einstein condensates with periodic potentials 2016 Qingxuan Wang
Dun Zhao
2
+ PDF Chat Multiple normalized solutions for a competing system of Schrödinger equations 2019 Thomas Bartsch
Nicola Soave
2
+ PDF Chat Strong Instability of Standing Waves for Nonlinear Schrödinger Equations with Harmonic Potential 2018 Masahito Ohta
2
+ PDF Chat On Dipolar Quantum Gases in the Unstable Regime 2016 Jacopo Bellazzini
Louis Jeanjean
2
+ Solutions for a quasilinear Schrödinger equation: a dual approach 2003 Mathieu Colin
Louis Jeanjean
2
+ Soliton solutions for a quasilinear Schrödinger equation via Morse theory 2015 Duchao Liu
Peihao Zhao
2
+ PDF Chat Instability of standing waves for nonlinear Schrödinger equations with potentials 2003 Reika Fukuizumi
Masahito Ohta
2
+ SOBOLEV VERSUS HÖLDER LOCAL MINIMIZERS AND GLOBAL MULTIPLICITY FOR SOME QUASILINEAR ELLIPTIC EQUATIONS 2000 J.P. Garcı́a Azorero
Ireneo Peral
Juan J. Manfredi
2