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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 3
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Articles

Existence of ground state solutions for a super-biquadratic Kirchhoff-type equation with steep potential well

Miao DuSchool of Mathematical Sciences, Nanjing Normal University, Nanjing210023, P.R. China.View further author information
,
Lixin TianSchool of Mathematical Sciences, Nanjing Normal University, Nanjing210023, P.R. China.Correspondence[email protected]
View further author information
,
Jun WangFaculty of Science, Jiangsu University, Zhenjiang212013, P.R. China.View further author information
&
Fubao ZhangDepartment of Mathematics, Southeast University, Nanjing210096, P.R. China.View further author information
Pages 627-645 | Received 28 Oct 2014, Accepted 13 Feb 2015, Published online: 16 Mar 2015

Citations (8)

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Die Hu, Xianhua Tang & Qi Zhang. (2023) Existence of ground state solutions for Kirchhoff-type problem with variable potential. Applicable Analysis 102:1, pages 168-181.
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Articles from other publishers (7)

He Zhang, Shuai Yao & Haibo Chen. (2024) On the effect of space dimension and potential on the multiplicity of positive and nodal solutions for Kirchhoff equations. Journal of Mathematical Analysis and Applications 530:2, pages 127715.
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Menghui Wu & Chunlei Tang. (2023) The Existence and Concentration of Ground State Sign-Changing Solutions for Kirchhoff-Type Equations with a Steep Potential Well. Acta Mathematica Scientia 43:4, pages 1781-1799.
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Shuwen He & Xiaobo Wen. (2023) Existence and concentration of solutions for a Kirchhoff-type problem with sublinear perturbation and steep potential well. AIMS Mathematics 8:3, pages 6432-6446.
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Guocui Yang, Jianwen Zhou & Shengzhong Duan. (2022) On the Existence of Solutions for a Class of Schrödinger–Kirchhoff-Type Equations with Sign-Changing Potential. Discrete Dynamics in Nature and Society 2022, pages 1-6.
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Li Zhou & Chuanxi Zhu. (2022) Existence and Asymptotic Behavior of Ground State Solutions to Kirchhoff-Type Equations of General Convolution Nonlinearity with a Steep Potential Well. Mathematics 10:5, pages 812.
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lintao Liu, Haibo Chen & Jie Yang. (2021) Positive Solutions for Fractional Kirchhoff Type Problem with Steep Potential Well. Bulletin of the Malaysian Mathematical Sciences Society 45:1, pages 549-573.
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Fubao Zhang & Miao Du. (2020) Existence and asymptotic behavior of positive solutions for Kirchhoff type problems with steep potential well. Journal of Differential Equations 269:11, pages 10085-10106.
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