On the ground state solution for a critical fractional Laplacian equation

Nonlinear Analysis ◽

10.1016/j.na.2013.04.005 ◽

2013 ◽

Vol 87 ◽

pp. 116-125 ◽

Author(s):

Yongxia Hua ◽

Xiaohui Yu

Keyword(s):

Ground State ◽

Fractional Laplacian ◽

Ground State Solution ◽

State Solution ◽

Laplacian Equation

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Ground state solution of p-Laplacian equation with finite many critical nonlinearities

Complex Variables and Elliptic Equations ◽

10.1080/17476933.2020.1720005 ◽

2020 ◽

Vol 66 (2) ◽

pp. 283-311 ◽

Author(s):

Yu Su ◽

Haibo Chen ◽

Senli Liu ◽

Guofeng Che

Keyword(s):

Ground State ◽

Ground State Solution ◽

State Solution ◽

Laplacian Equation ◽

Critical Nonlinearities

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Existence and concentration of ground state solution to a critical p-Laplacian equation

Differential Equations & Applications ◽

10.7153/dea-05-34 ◽

2013 ◽

pp. 577-594

Author(s):

Xudong Shang ◽

Jihui Zhang

Keyword(s):

Ground State ◽

Ground State Solution ◽

State Solution ◽

Laplacian Equation

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Ground state solution for asymptotically periodic fractional p-Laplacian equation

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107280 ◽

2021 ◽

pp. 107280

Author(s):

Heilong Mi ◽

Xiaoqing Deng ◽

Wen Zhang

Keyword(s):

Ground State ◽

Ground State Solution ◽

State Solution ◽

Laplacian Equation ◽

Asymptotically Periodic

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A multigrid method for the ground state solution of Bose–Einstein condensates based on Newton iteration

BIT Numerical Mathematics ◽

10.1007/s10543-020-00830-3 ◽

2021 ◽

Author(s):

Fei Xu ◽

Hehu Xie ◽

Manting Xie ◽

Meiling Yue

Keyword(s):

Ground State ◽

Multigrid Method ◽

Ground State Solution ◽

Newton Iteration ◽

State Solution ◽

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Existence of ground state solution for the first order discrete Hamiltonian systems

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107113 ◽

2021 ◽

Vol 117 ◽

pp. 107113

Author(s):

Peng Chen ◽

Li Meng ◽

Guoan Guo

Keyword(s):

Hamiltonian Systems ◽

Ground State ◽

Ground State Solution ◽

State Solution ◽

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Existence of Positive Ground-State Solution for Choquard-Type Equations

Mediterranean Journal of Mathematics ◽

10.1007/s00009-016-0802-9 ◽

2017 ◽

Vol 14 (1) ◽

Author(s):

Tao Wang

Keyword(s):

Ground State ◽

Ground State Solution ◽

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Exact Ground State Solution for Anyons with spin-$\frac {1}{2}$

Communications in Theoretical Physics ◽

10.1088/0253-6102/17/1/107 ◽

1992 ◽

Vol 17 (1) ◽

pp. 107-110

Author(s):

Shun-Qing Shen ◽

J. Cai ◽

Rui-Bao Tao

Keyword(s):

Ground State ◽

Ground State Solution ◽

State Solution ◽

Exact Ground State

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A NOTE ON THE EXISTENCE OF A GROUND STATE SOLUTION TO A FRACTIONAL SCHRÖDINGER EQUATION

Kyushu Journal of Mathematics ◽

10.2206/kyushujm.67.227 ◽

2013 ◽

Vol 67 (1) ◽

pp. 227-236 ◽

Author(s):

Yonggeun CHO ◽

Tohru OZAWA

Keyword(s):

Schrödinger Equation ◽

Ground State ◽

Schrodinger Equation ◽

Ground State Solution ◽

State Solution ◽

Fractional Schrödinger Equation ◽

Fractional Schrodinger Equation

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Ground state solution for quasilinear elliptic equation with critical growth in

Nonlinear Analysis ◽

10.1016/j.na.2011.12.015 ◽

2012 ◽

Vol 75 (6) ◽

pp. 3178-3187 ◽

Author(s):

Guoqing Zhang

Keyword(s):

Elliptic Equation ◽

Ground State ◽

Quasilinear Elliptic Equation ◽

Ground State Solution ◽

Critical Growth ◽

State Solution ◽

Quasilinear Elliptic

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Existence of a Ground State Solution for a Quasilinear Schrödinger Equation

Advanced Nonlinear Studies ◽

10.1515/ans-2014-0407 ◽

2014 ◽

Vol 14 (4) ◽

Author(s):

Xiang-dong Fang ◽

Zhi-qing Han

Keyword(s):

Schrödinger Equation ◽

Ground State ◽

Schrodinger Equation ◽

Ground State Solution ◽

State Solution ◽

Quasilinear Schrödinger Equation

AbstractIn this paper we are concerned with the quasilinear Schrödinger equation−Δu + V(x)u − Δ(uwhere N ≥ 3, 4 < p < 4N/(N − 2), and V(x) and q(x) go to some positive limits V

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