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Properties of the least action level, bifurcation phenomena and the existence of normalized solutions for a family of semi-linear elliptic equations without the hypothesis of autonomy 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 315, 页码: 179-199
作者:  Song, Linjie
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
Bifurcation  Normalized solutions  Nehari manifold  Pohozaev identity  
Estimates of eigenvalues and eigenfunctions in elliptic homogenization with rapidly oscillating potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 292, 页码: 388-415
作者:  Zhang, Yiping
收藏  |  浏览/下载：140/0  |  提交时间：2021/10/26
Homogenization  Periodic coefficients  Rapidly oscillating potentials  Convergence rates  Eigenvalues and eigenfunctions  
Standing waves with prescribed mass for the Schrodinger equations with van der Waals type potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 卷号: 276, 页码: 228-263
作者:  Cao, Daomin;  Jia, Huifang;  Luo, Xiao
收藏  |  浏览/下载：162/0  |  提交时间：2021/04/26
Schrodinger equation  vander Waals type potentials  Normalized solutions  Stability  Variational methods  
Liouville type theorems for elliptic equations with Dirichlet conditions in exterior domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2020, 卷号: 269, 期号: 9, 页码: 7231-7252
作者:  Dai, Wei;  Qin, Guolin
收藏  |  浏览/下载：144/0  |  提交时间：2020/09/23
The method of scaling spheres  Hardy-H?non type equations  Liouville theorems  Nonnegative solutions  Exterior domains  
Proof of the Henon-Lane-Emden conjecture in R-3 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2019, 卷号: 266, 期号: 1, 页码: 202-226
作者:  Li, Kui;  Zhang, Zhitao
收藏  |  浏览/下载：141/0  |  提交时间：2019/01/11
Henon-Lane-Emden conjecture  Nonlinear elliptic weighted system  Liouville-type theorems  
Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 卷号: 251, 期号: 6, 页码: 1389-1414
作者:  Cao, Daomin;  Yan, Shusen
收藏  |  浏览/下载：122/0  |  提交时间：2018/07/30
On Hamiltonian elliptic systems with periodic or non-periodic potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 卷号: 249, 期号: 12, 页码: 2964-2985
作者:  Zhao, Fukun;  Ding, Yanheng
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
Hamiltonian elliptic system  Variational method  Strongly indefinite functional  Reduction  
Solutions to critical elliptic equations with multi-singular inverse square potentials 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 224, 期号: 2, 页码: 332-372
作者:  Cao, DM;  Han, PG
收藏  |  浏览/下载：164/0  |  提交时间：2018/07/30
semilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent  
Nontrivial solutions of Kirchhoff-type problems via the Yang index 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2006, 卷号: 221, 期号: 1, 页码: 246-255
作者:  Perera, K;  Zhang, ZT
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
nonlocal problems  Kirchhoff's equation  Yang index  minimax eigenvalues  variational  methods  Morse theory  critical groups  
Solutions for semilinear elliptic equations with critical exponents and Hardy potential 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 卷号: 205, 期号: 2, 页码: 521-537
作者:  Cao, DM;  Han, PG
收藏  |  浏览/下载：150/0  |  提交时间：2018/07/30
semilinear elliptic equation  energy functional  Palais-Smale condition  critical Sobolev exponent