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Normalized ground state solutions for Kirchhoff type systems
Journal of Mathematical Physics, 2021We consider the existence of ground state solutions for nonlinear Kirchhoff type systems in the whole space RN (2 ≤ N ≤ 4) with prescribed normalization. Two cases are studied: one is L2-supercritical and the other is mixed. In the first case, assuming that the coupling coefficient is big enough, we prove the existence of a ground state solution via ...
Zuo Yang
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Applied Mathematics Letters, 2020
In this paper, we study the following Choquard type quasilinear Schrodinger equation − Δ u + V ( x ) u − Δ ( u 2 ) u = ( I α ∗ | u | p ) | u | p − 2 u , x ∈ R N , where N ≥ 3 , 0 α N , 2 ( N + α ) N p 2 ( N + α ) N − 2 , V : R N → R is radial potential ...
Jianhua Chen, Bitao Cheng, Xianjiu Huang
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In this paper, we study the following Choquard type quasilinear Schrodinger equation − Δ u + V ( x ) u − Δ ( u 2 ) u = ( I α ∗ | u | p ) | u | p − 2 u , x ∈ R N , where N ≥ 3 , 0 α N , 2 ( N + α ) N p 2 ( N + α ) N − 2 , V : R N → R is radial potential ...
Jianhua Chen, Bitao Cheng, Xianjiu Huang
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Three ground state solutions for double phase problem
Journal of Mathematical Physics, 2018Using the variational method, we obtain three ground state solutions (one positive, one negative, and one sign-changing) for the double phase problem. In particular, a strong maximum principle for the double phase problem will be proved.
Liu, Wulong, Dai, Guowei
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GROUND STATE SOLUTIONS FOR A NONLOCAL PROBLEM
Turkic World Mathematical Society (TWMS) Journal of Pure and Applied Mathematicsopenaire +2 more sources
Cylindrical Solutions and Ground State Solutions to Weighted Kirchhoff Equations
The Journal of Geometric Analysis, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zupei Shen, Jianshe Yu
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Ground state solutions for critical Schrödinger equations with Hardy potential
Nonlinearity, 2022In this paper, we investigate the following Schrödinger equation 0.1 −Δu−μ|x|2u=g(u)+|u|2*−2uinRN\{0}, where N ⩾ 3 ...
Gui-Dong Li, Yong-Yong Li, Chunlei Tang
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Journal of Differential Equations, 2021
In this paper, we investigate the following Schrodinger equation { − Δ u − μ | x | 2 u = g ( u ) in R N ∖ { 0 } , u ∈ H 1 ( R N ) , where N ≥ 3 , μ ( N − 2 ) 2 4 , 1 | x | 2 is called the Hardy potential (the inverse-square potential) and g satisfies the
Gui-Dong Li, Yong-Yong Li, Chunlei Tang
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In this paper, we investigate the following Schrodinger equation { − Δ u − μ | x | 2 u = g ( u ) in R N ∖ { 0 } , u ∈ H 1 ( R N ) , where N ≥ 3 , μ ( N − 2 ) 2 4 , 1 | x | 2 is called the Hardy potential (the inverse-square potential) and g satisfies the
Gui-Dong Li, Yong-Yong Li, Chunlei Tang
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Ground state solution to the biharmonic equation
Zeitschrift für angewandte Mathematik und Physik, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhaosheng Feng, Yu Su
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