Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (1): 142-148.
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Existence of Positive Radial Solution to a Class of Kirchhoff type Equation in ${\mathbb R}$ $N$
Yihua Deng(
)
- College of Mathematics and Statistics, Hengyang Normal University, Hunan Hengyang 421002
-
Received:2019-10-16Online:2021-02-26Published:2021-01-29 -
Supported by:the NSF of Hunan Province(14JJ2120);the Double Top Application Characteristic Discipline of Hunan Province(湘教通[2018]469);the Fund for Intelligent Information Processing and Application Key Laboratory of Hunan Province(2016TP1020)
CLC Number:
- O175.2
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Yihua Deng. Existence of Positive Radial Solution to a Class of Kirchhoff type Equation in
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| 1 |
Guo J M , Ma S W , Zhang G . Solutions of the autonomous Kirchhoff type equations in ${\mathbb R} ^N$. Applied Mathematics Letters, 2018, 82: 14- 17
doi: 10.1016/j.aml.2018.02.011 |
| 2 |
Wu K , Zhou F . Nodal solutions for a Kirchhoff type problem in ${\mathbb R} ^N$. Applied Mathematics Letters, 2019, 88: 58- 63
doi: 10.1016/j.aml.2018.08.008 |
| 3 |
Liu J , Liu T , Pan H L . A result on a non-autonomous Kirchhoff type equation involving critical term. Applied Mathematics Letters, 2018, 85: 82- 87
doi: 10.1016/j.aml.2018.05.026 |
| 4 |
Miyagaki O H , Paes-Leme L C , Rodrigues B M . Multiplicity of positive solutions for the Kirchhoff-type equations with critical exponent in ${\mathbb R} ^N$. Computers and Mathematics with Applications, 2018, 75: 3201- 3212
doi: 10.1016/j.camwa.2018.01.041 |
| 5 | Wu X . Existence of nontrivial solutions and high energy solutions for Schrödinger-Kirchhoff-type equations in ${\mathbb R} ^N$. Nonlinear Anal RWA, 2011, 12: 1278- 1287 |
| 6 |
Li Y H , Li F Y , Shi J P . Existence of positive solutions to Kirchhoff type problems with zero mass. J Math Anal Appl, 2014, 410: 361- 374
doi: 10.1016/j.jmaa.2013.08.030 |
| 7 | 柳志德, 王征平. 非线性Kirchhoff型椭圆方程的最低能量解. 数学物理学报, 2019, 39A (2): 264- 276 |
| Liu Z D , Wang Z P . Least energy solution for nonlinear Kirchhoff type elliptic equation. Acta Math Sci, 2019, 39A (2): 264- 276 | |
| 8 |
Lu S S . An autonomous Kirchhoff-type equation with general nonlinearity in ${\mathbb R} ^N$. Nonlinear Anal RWA, 2017, 34: 233- 249
doi: 10.1016/j.nonrwa.2016.09.003 |
| 9 | Jin J H , Wu X . Infinitely many radial solutions for Kirchhoff-type problems in ${\mathbb R} ^N$. J Math Anal Appl, 2010, 369: 564- 574 |
| 10 | Deng Y B , Peng S J , Yan S S . Positive soliton solutions for generalized quasilinear Schrödinger equations with critical growth. J Differential Equations, 2015, 258: 115- 147 |
| 11 | Jeanjean L . On the existence of bounded Palais-Smale sequences and application to a Landesman-Lazer-type problem set on ${\mathbb R} ^N$. Proc Roy Soc Edinburgh Sect A, 1999, 129: 787- 809 |
| 12 | Berestycki H , Lions P L . Nonlinear scalar field equations, I: Existence of a ground state. Arch Ration Mech Anal, 1983, 82 (4): 313- 345 |
| 13 | Gilbarg D , Trudinger N . Elliptic Partial Differential Equations of Second Order. Berlin: Springer, 1977 |
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