Least energy sign-changing solutions for fourth-order Kirchhoff-type equation with potential vanishing at infinity

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-020-01349-0 ◽

2020 ◽

Vol 64 (1-2) ◽

pp. 157-177 ◽

Author(s):

Hua-Bo Zhang ◽

Wen Guan

Keyword(s):

Fourth Order ◽

Type Equation ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Sign Changing Solutions ◽

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Least energy sign-changing solutions of Kirchhoff-type equation with critical growth

Journal of Mathematical Physics ◽

10.1063/1.5074163 ◽

2020 ◽

Vol 61 (1) ◽

pp. 011501 ◽

Author(s):

Da-Bin Wang

Keyword(s):

Type Equation ◽

Critical Growth ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Sign Changing Solutions ◽

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Ground state solutions and least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in RN

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2016.06.003 ◽

2017 ◽

Vol 23 (1) ◽

pp. 94-108

Author(s):

Sofiane Khoutir ◽

Haibo Chen

Keyword(s):

Fourth Order ◽

Ground State ◽

Ground State Solutions ◽

Kirchhoff Type ◽

Sign Changing Solutions ◽

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Existence of sign-changing solution with least energy for a class of Kirchhoff-type equation in ℝ N

Electronic journal of qualitative theory of differential equations ◽

10.14232/ejqtde.2017.1.32 ◽

2017 ◽

pp. 1-14 ◽

Author(s):

Xianzhong Yao ◽

Chunlai Mu

Keyword(s):

Type Equation ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

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The Unique Solvability and Approximation of BVP for a Nonlinear Fourth Order Kirchhoff Type Equation

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.231017.250118a ◽

2018 ◽

Vol 8 (2) ◽

pp. 323-335 ◽

Author(s):

Dang Quang A and Nguyen Thanh Huong

Keyword(s):

Fourth Order ◽

Unique Solvability ◽

Type Equation ◽

Kirchhoff Type ◽

Kirchhoff Type Equation

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Least energy sign-changing solutions for a class of fourth order Kirchhoff-type equations in $$\mathbb {R}^{N}$$ R N

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-016-1023-x ◽

2016 ◽

Vol 55 (1-2) ◽

pp. 25-39 ◽

Author(s):

Sofiane Khoutir ◽

Haibo Chen

Keyword(s):

Fourth Order ◽

Kirchhoff Type ◽

Sign Changing Solutions ◽

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Signed and sign-changing solutions for a Kirchhoff-type equation in bounded domains

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2015.07.033 ◽

2015 ◽

Vol 432 (2) ◽

pp. 965-982 ◽

Author(s):

Sheng-Sen Lu

Keyword(s):

Type Equation ◽

Bounded Domains ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Sign Changing Solutions

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On the existence of least energy solutions to a Kirchhoff-type equation in R3

Applied Mathematics Letters ◽

10.1016/j.aml.2019.04.028 ◽

2019 ◽

Vol 96 ◽

pp. 179-186

Author(s):

Dengfeng Lu ◽

Zongze Lu

Keyword(s):

Type Equation ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Least Energy Solutions ◽

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Existence of Ground State Sign-Changing Solutions of Fractional Kirchhoff-Type Equation with Critical Growth

Applied Mathematics & Optimization ◽

10.1007/s00245-021-09763-x ◽

2021 ◽

Author(s):

Wen Guan ◽

Hai-Feng Huo

Keyword(s):

Ground State ◽

Type Equation ◽

Critical Growth ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Sign Changing Solutions

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On the Brezis–Nirenberg problem for a Kirchhoff type equation in high dimension

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-020-01891-6 ◽

2021 ◽

Vol 60 (1) ◽

Author(s):

F. Faraci ◽

K. Silva

Keyword(s):

High Dimension ◽

Type Equation ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Nirenberg Problem

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Existence and concentration behavior of solutions to Kirchhoff type equation with steep potential well and critical growth

Journal of Mathematical Physics ◽

10.1063/5.0028510 ◽

2021 ◽

Vol 62 (1) ◽

pp. 011506

Author(s):

Jian Zhang ◽

Zhenluo Lou

Keyword(s):

Type Equation ◽

Critical Growth ◽

Potential Well ◽

Kirchhoff Type ◽

Kirchhoff Type Equation ◽

Steep Potential Well ◽

Concentration Behavior

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