On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\). Zbl 1028.46041
Fan, Xianling; Zhao, Dun |
|
2001
|
Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\). Zbl 0995.46023
Fan, Xianling; Shen, Jishen; Zhao, Dun |
|
2001
|
Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem. Zbl 1072.35138
Fan, Xianling; Zhang, Qihu; Zhao, Dun |
|
2005
|
A class of De Giorgi type and Hölder continuity. Zbl 0927.46022
Fan, Xianling; Zhao, Dun |
|
1999
|
Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\). Zbl 0988.46025
Fan, Xianling; Zhao, Yuanzhang; Zhao, Dun |
|
2001
|
The quasi-minimizer of integral functionals with \(m(x)\) growth conditions. Zbl 0943.49029
Fan, Xianling; Zhao, Dun |
|
2000
|
Regularity of minimizers of variational integrals with continuous \(p(x)\)-growth conditions. Zbl 0933.49024
Fan, Xianling; Zhao, Dun |
|
1996
|
Existence and mass concentration of 2D attractive Bose-Einstein condensates with periodic potentials. Zbl 1378.35098
Wang, Qingxuan; Zhao, Dun |
|
2017
|
On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain. Zbl 1311.35281
Feng, Binhua; Zhao, Dun; Sun, Chunyou |
|
2014
|
Integrability of the Gross-Pitaevskii equation with Feshbach resonance management. Zbl 1223.82036
Zhao, Dun; Luo, Hong-Gang; Chai, Hua-Yue |
|
2008
|
Density of \(C^{\infty}(\Omega)\) in \(W^{1,p(x)}(\Omega)\) discontinuous exponent \(p(x)\). Zbl 1100.46020
Fan, Xianling; Wang, Suyun; Zhao, Dun |
|
2006
|
Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials. Zbl 1333.35252
Feng, Binhua; Zhao, Dun |
|
2016
|
Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation. Zbl 1344.37079
Zhang, Yu-Juan; Zhao, Dun; Luo, Hong-Gang |
|
2014
|
Ground state solution and nodal solution for fractional nonlinear Schrödinger equation with indefinite potential. Zbl 1414.35210
Li, Yuan; Zhao, Dun; Wang, Qingxuan |
|
2019
|
AKNS hierarchy, Darboux transformation and conservation laws of the 1D nonautonomous nonlinear Schrödinger equations. Zbl 1316.35271
Zhao, Dun; Zhang, Yu-Juan; Lou, Wei-Wei; Luo, Hong-Gang |
|
2011
|
Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation. Zbl 1420.35373
Peng, Congming; Zhao, Dun |
|
2019
|
Pullback attractors for multi-valued non-compact random dynamical systems generated by semi-linear degenerate parabolic equations with unbounded delays. Zbl 1388.35235
Wang, Jingyu; Wang, Yejuan; Zhao, Dun |
|
2016
|
Homogenization for nonlinear Schrödinger equations with periodic nonlinearity and dissipation in fractional order spaces. Zbl 1340.35323
Feng, Binhua; Zhao, Dun; Sun, Chunyou |
|
2015
|
Regularity of quasi-minimizers of integral functionals with discontinuous \(p(x)\)-growth conditions. Zbl 1142.35021
Fan, Xianling; Zhao, Dun |
|
2006
|
A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations. Zbl 1362.37139
Zhang, Yu-Juan; Zhao, Dun; Ma, Wen-Xiu |
|
2017
|
The limit behavior of solutions for the nonlinear Schrödinger equation including nonlinear loss/gain with variable coefficient. Zbl 1306.35120
Feng, Binhua; Zhao, Dun; Sun, Chunyou |
|
2013
|
On the Cauchy problem for the XFEL Schrödinger equation. Zbl 1406.35351
Feng, Binhua; Zhao, Dun |
|
2018
|
Optimal bilinear control of nonlinear Schrödinger equations with singular potentials. Zbl 1297.49005
Feng, Binhua; Zhao, Dun; Chen, Pengyu |
|
2014
|
Optimal bilinear control for the X-ray free electron laser Schrödinger equation. Zbl 1428.35507
Feng, Binhua; Zhao, Dun |
|
2019
|
Concentration behavior of nonlinear Hartree-type equation with almost mass critical exponent. Zbl 1427.35085
Li, Yuan; Zhao, Dun; Wang, Qingxuan |
|
2019
|
Blow-up dynamics of \(L^{2}\)-critical inhomogeneous nonlinear Schrödinger equation. Zbl 1406.35322
Peng, Congming; Zhao, Dun |
|
2018
|
Pareto optimization in topological vector spaces. Zbl 1106.90076
Zhu, Jiang; Isac, George; Zhao, Dun |
|
2005
|
Optimal nonlinearity control of Schrödinger equation. Zbl 1406.35371
Wang, Kai; Zhao, Dun; Feng, Binhua |
|
2018
|
Existence of solutions to nonlinear fractional Schrödinger equations with singular potentials. Zbl 1348.35300
Wang, Qingxuan; Zhao, Dun; Wang, Kai |
|
2016
|
Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in \(\mathbb{R}^2\). Zbl 1473.35212
Kong, Yuzhen; Wang, Qingxuan; Zhao, Dun |
|
2021
|
On the existence of weak solutions of elliptic equations of order \(2m\) with \(p(x)\)-growth conditions. Zbl 0991.35028
Zhao, Dun; Fan, Xianling |
|
2001
|
Painlevé integrability of two-component nonautonomous nonlinear Schrödinger equations. Zbl 1239.35147
Ding, Cai-Ying; Zhao, Dun; Luo, Hong-Gang |
|
2012
|
Global well-posedness for nonlinear Schrödinger equations with energy-critical damping. Zbl 1315.35202
Feng, Binhua; Zhao, Dun |
|
2015
|
Semiclassical asymptotic behavior of ground state for the two-component Hartree system. Zbl 1433.35070
Kong, Yuzhen; Zhao, Dun; Wang, Qingxuan |
|
2019
|
Optimal bilinear control of the coupled nonlinear Schrödinger system. Zbl 1408.49004
Wang, Kai; Zhao, Dun; Feng, Binhua |
|
2019
|
Normalized traveling solitary waves for a class of nonlinear half-wave equations. Zbl 1466.35084
Zhang, Guoqing; Liang, Chuchu; Zhao, Dun |
|
2021
|
Existence of the stable traveling wave for half-wave equation with \(L^2\)-critical combined nonlinearities. Zbl 1490.35372
Li, Yuan; Zhao, Dun; Wang, Qingxuan |
|
2022
|
A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrödinger equation. Zbl 1070.35097
Zhao, Dun; Luo, Hong-Gang; Wang, Shun-Jin; Zuo, Wei |
|
2005
|
Soliton collisions in spin-orbit coupled spin-1 Bose-Einstein condensates. Zbl 07696703
Qi, Juan-juan; Zhao, Dun; Liu, Wu-Ming |
|
2023
|
Damping-like effects in Heisenberg spin chain caused by the site-dependent bilinear interaction. Zbl 1521.35147
Zhang, Yu-Juan; Zhao, Dun; Li, Zai-Dong |
|
2021
|
Soliton collisions in spin-orbit coupled spin-1 Bose-Einstein condensates. Zbl 07696703
Qi, Juan-juan; Zhao, Dun; Liu, Wu-Ming |
|
2023
|
Existence of the stable traveling wave for half-wave equation with \(L^2\)-critical combined nonlinearities. Zbl 1490.35372
Li, Yuan; Zhao, Dun; Wang, Qingxuan |
|
2022
|
Ground states of spin-1 BEC with attractive mean-field interaction trapped in harmonic potential in \(\mathbb{R}^2\). Zbl 1473.35212
Kong, Yuzhen; Wang, Qingxuan; Zhao, Dun |
|
2021
|
Normalized traveling solitary waves for a class of nonlinear half-wave equations. Zbl 1466.35084
Zhang, Guoqing; Liang, Chuchu; Zhao, Dun |
|
2021
|
Damping-like effects in Heisenberg spin chain caused by the site-dependent bilinear interaction. Zbl 1521.35147
Zhang, Yu-Juan; Zhao, Dun; Li, Zai-Dong |
|
2021
|
Ground state solution and nodal solution for fractional nonlinear Schrödinger equation with indefinite potential. Zbl 1414.35210
Li, Yuan; Zhao, Dun; Wang, Qingxuan |
|
2019
|
Global existence and blowup on the energy space for the inhomogeneous fractional nonlinear Schrödinger equation. Zbl 1420.35373
Peng, Congming; Zhao, Dun |
|
2019
|
Optimal bilinear control for the X-ray free electron laser Schrödinger equation. Zbl 1428.35507
Feng, Binhua; Zhao, Dun |
|
2019
|
Concentration behavior of nonlinear Hartree-type equation with almost mass critical exponent. Zbl 1427.35085
Li, Yuan; Zhao, Dun; Wang, Qingxuan |
|
2019
|
Semiclassical asymptotic behavior of ground state for the two-component Hartree system. Zbl 1433.35070
Kong, Yuzhen; Zhao, Dun; Wang, Qingxuan |
|
2019
|
Optimal bilinear control of the coupled nonlinear Schrödinger system. Zbl 1408.49004
Wang, Kai; Zhao, Dun; Feng, Binhua |
|
2019
|
On the Cauchy problem for the XFEL Schrödinger equation. Zbl 1406.35351
Feng, Binhua; Zhao, Dun |
|
2018
|
Blow-up dynamics of \(L^{2}\)-critical inhomogeneous nonlinear Schrödinger equation. Zbl 1406.35322
Peng, Congming; Zhao, Dun |
|
2018
|
Optimal nonlinearity control of Schrödinger equation. Zbl 1406.35371
Wang, Kai; Zhao, Dun; Feng, Binhua |
|
2018
|
Existence and mass concentration of 2D attractive Bose-Einstein condensates with periodic potentials. Zbl 1378.35098
Wang, Qingxuan; Zhao, Dun |
|
2017
|
A unified inverse scattering transformation for the local and nonlocal nonautonomous Gross-Pitaevskii equations. Zbl 1362.37139
Zhang, Yu-Juan; Zhao, Dun; Ma, Wen-Xiu |
|
2017
|
Optimal bilinear control of Gross-Pitaevskii equations with Coulombian potentials. Zbl 1333.35252
Feng, Binhua; Zhao, Dun |
|
2016
|
Pullback attractors for multi-valued non-compact random dynamical systems generated by semi-linear degenerate parabolic equations with unbounded delays. Zbl 1388.35235
Wang, Jingyu; Wang, Yejuan; Zhao, Dun |
|
2016
|
Existence of solutions to nonlinear fractional Schrödinger equations with singular potentials. Zbl 1348.35300
Wang, Qingxuan; Zhao, Dun; Wang, Kai |
|
2016
|
Homogenization for nonlinear Schrödinger equations with periodic nonlinearity and dissipation in fractional order spaces. Zbl 1340.35323
Feng, Binhua; Zhao, Dun; Sun, Chunyou |
|
2015
|
Global well-posedness for nonlinear Schrödinger equations with energy-critical damping. Zbl 1315.35202
Feng, Binhua; Zhao, Dun |
|
2015
|
On the Cauchy problem for the nonlinear Schrödinger equations with time-dependent linear loss/gain. Zbl 1311.35281
Feng, Binhua; Zhao, Dun; Sun, Chunyou |
|
2014
|
Multi-soliton management by the integrable nonautonomous nonlinear integro-differential Schrödinger equation. Zbl 1344.37079
Zhang, Yu-Juan; Zhao, Dun; Luo, Hong-Gang |
|
2014
|
Optimal bilinear control of nonlinear Schrödinger equations with singular potentials. Zbl 1297.49005
Feng, Binhua; Zhao, Dun; Chen, Pengyu |
|
2014
|
The limit behavior of solutions for the nonlinear Schrödinger equation including nonlinear loss/gain with variable coefficient. Zbl 1306.35120
Feng, Binhua; Zhao, Dun; Sun, Chunyou |
|
2013
|
Painlevé integrability of two-component nonautonomous nonlinear Schrödinger equations. Zbl 1239.35147
Ding, Cai-Ying; Zhao, Dun; Luo, Hong-Gang |
|
2012
|
AKNS hierarchy, Darboux transformation and conservation laws of the 1D nonautonomous nonlinear Schrödinger equations. Zbl 1316.35271
Zhao, Dun; Zhang, Yu-Juan; Lou, Wei-Wei; Luo, Hong-Gang |
|
2011
|
Integrability of the Gross-Pitaevskii equation with Feshbach resonance management. Zbl 1223.82036
Zhao, Dun; Luo, Hong-Gang; Chai, Hua-Yue |
|
2008
|
Density of \(C^{\infty}(\Omega)\) in \(W^{1,p(x)}(\Omega)\) discontinuous exponent \(p(x)\). Zbl 1100.46020
Fan, Xianling; Wang, Suyun; Zhao, Dun |
|
2006
|
Regularity of quasi-minimizers of integral functionals with discontinuous \(p(x)\)-growth conditions. Zbl 1142.35021
Fan, Xianling; Zhao, Dun |
|
2006
|
Eigenvalues of \(p(x)\)-Laplacian Dirichlet problem. Zbl 1072.35138
Fan, Xianling; Zhang, Qihu; Zhao, Dun |
|
2005
|
Pareto optimization in topological vector spaces. Zbl 1106.90076
Zhu, Jiang; Isac, George; Zhao, Dun |
|
2005
|
A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrödinger equation. Zbl 1070.35097
Zhao, Dun; Luo, Hong-Gang; Wang, Shun-Jin; Zuo, Wei |
|
2005
|
On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\). Zbl 1028.46041
Fan, Xianling; Zhao, Dun |
|
2001
|
Sobolev embedding theorems for spaces \(W^{k,p(x)}(\Omega)\). Zbl 0995.46023
Fan, Xianling; Shen, Jishen; Zhao, Dun |
|
2001
|
Compact imbedding theorems with symmetry of Strauss-Lions type for the space \(W^{1,p(x)}(\Omega)\). Zbl 0988.46025
Fan, Xianling; Zhao, Yuanzhang; Zhao, Dun |
|
2001
|
On the existence of weak solutions of elliptic equations of order \(2m\) with \(p(x)\)-growth conditions. Zbl 0991.35028
Zhao, Dun; Fan, Xianling |
|
2001
|
The quasi-minimizer of integral functionals with \(m(x)\) growth conditions. Zbl 0943.49029
Fan, Xianling; Zhao, Dun |
|
2000
|
A class of De Giorgi type and Hölder continuity. Zbl 0927.46022
Fan, Xianling; Zhao, Dun |
|
1999
|
Regularity of minimizers of variational integrals with continuous \(p(x)\)-growth conditions. Zbl 0933.49024
Fan, Xianling; Zhao, Dun |
|
1996
|
