Ground State Sign-Changing Solutions for a Kirchhoff Equation with Asymptotically 3-Linear Nonlinearity

Qualitative Theory of Dynamical Systems ◽

10.1007/s12346-021-00529-y ◽

2021 ◽

Vol 20 (3) ◽

Author(s):

Ren-Ting Feng ◽

Chun-Lei Tang

Keyword(s):

Ground State ◽

Kirchhoff Equation ◽

Sign Changing Solutions

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Ground state sign-changing solutions for the Schrödinger–Kirchhoff equation in R3

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2018.06.071 ◽

2018 ◽

Vol 466 (2) ◽

pp. 1545-1569 ◽

Author(s):

Li Wang ◽

Binlin Zhang ◽

Kun Cheng

Keyword(s):

Ground State ◽

Kirchhoff Equation ◽

Sign Changing Solutions

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Ground state sign-changing solutions for fractional Kirchhoff equations in bounded domains

Journal of Mathematical Physics ◽

10.1063/1.5026674 ◽

2018 ◽

Vol 59 (3) ◽

pp. 031504 ◽

Author(s):

Huxiao Luo ◽

Xianhua Tang ◽

Zu Gao

Keyword(s):

Ground State ◽

Bounded Domains ◽

Kirchhoff Equations ◽

Sign Changing Solutions

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Sufficient and necessary conditions for ground state sign-changing solutions to the Schrödinger-Poisson system with cubic nonlinearity on bounded domains

Applied Mathematics Letters ◽

10.1016/j.aml.2021.107570 ◽

2021 ◽

pp. 107570

Author(s):

Shubin Yu ◽

Ziheng Zhang

Keyword(s):

Ground State ◽

Necessary Conditions ◽

Bounded Domains ◽

Poisson System ◽

Cubic Nonlinearity ◽

Sufficient And Necessary Conditions ◽

Sign Changing Solutions

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Ground State Solutions for Fractional p-Kirchhoff Equation with Subcritical and Critical Exponential Growth

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-018-0686-x ◽

2018 ◽

Vol 43 (1) ◽

pp. 355-377

Author(s):

Ruichang Pei ◽

Ying Zhang ◽

Jihui Zhang

Keyword(s):

Ground State ◽

Exponential Growth ◽

Kirchhoff Equation ◽

Ground State Solutions ◽

Critical Exponential Growth

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Ground state sign-changing solutions for a class of double-phase problem in bounded domains

Boundary Value Problems ◽

10.1186/s13661-020-01333-4 ◽

2020 ◽

Vol 2020 (1) ◽

Author(s):

Gangling Hou ◽

Bin Ge ◽

Beilei Zhang ◽

Liyan Wang

Keyword(s):

Ground State ◽

Bounded Domains ◽

Phase Problem ◽

Double Phase ◽

Sign Changing Solutions ◽

Double Phase Problem

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Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger–Poisson system with potential vanishing at infinity

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-019-01265-y ◽

2019 ◽

Vol 61 (1-2) ◽

pp. 611-634 ◽

Author(s):

Da-Bin Wang ◽

Hua-Bo Zhang ◽

Yu-Mei Ma ◽

Wen Guan

Keyword(s):

Ground State ◽

Poisson System ◽

Sign Changing Solutions

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Ground state sign-changing solutions for a Schrödinger–Poisson system with a critical nonlinearity in R3

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2017.06.014 ◽

2018 ◽

Vol 39 ◽

pp. 166-184 ◽

Author(s):

Xiao-Jing Zhong ◽

Chun-Lei Tang

Keyword(s):

Ground State ◽

Critical Nonlinearity ◽

Poisson System ◽

Sign Changing Solutions

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Ground state sign-changing solutions for Kirchhoff equations with logarithmic nonlinearity

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2019.1.47 ◽

2019 ◽

pp. 1-13 ◽

Author(s):

Lixi Wen ◽

Xianhua Tang ◽

Sitong Chen

Keyword(s):

Ground State ◽

Kirchhoff Equations ◽

Sign Changing Solutions

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Ground state sign-changing solutions for a class of nonlinear fractional Schrödinger–Poisson system in $${\mathbb {R}}^{3}$$R3

Annali di Matematica Pura ed Applicata (1923 -) ◽

10.1007/s10231-019-00831-2 ◽

2019 ◽

Vol 198 (5) ◽

pp. 1563-1579 ◽

Author(s):

Chao Ji

Keyword(s):

Ground State ◽

Poisson System ◽

Sign Changing Solutions

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Ground State Solutions for Kirchhoff Type Quasilinear Equations

Advanced Nonlinear Studies ◽

10.1515/ans-2018-2037 ◽

2019 ◽

Vol 19 (2) ◽

pp. 353-373

Author(s):

Xiangqing Liu ◽

Junfang Zhao

Keyword(s):

Ground State ◽

Quasilinear Equations ◽

Ground State Solutions ◽

Kirchhoff Type ◽

Sign Changing Solutions ◽

AbstractIn this paper, we are concerned with quasilinear equations of Kirchhoff type, and prove the existence of ground state signed solutions and sign-changing solutions by using the Nehari method.

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