具有临界非线性项的p-双调和方程无穷多小解的存在性

Journal of Jilin University Science Edition

Previous Articles Next Articles

Existence of Infinitely Many Small Solutions for p-BiharmonicEquation with Critical Nonlinearity

MIAO Fenghua^1, SONG Yueqiang²， ZHOU Chenxing¹

1. College of Mathematics, Changchun Normal University, Changchun 130032, China;2. Department of Scientific Research, Changchun Normal University, Changchun 130032, China

Received:2014-08-04 Online:2015-05-26 Published:2015-05-21
Contact: SONG Yueqiang E-mail:songyueqiang@sohu.com

Abstract

CLC Number:

O175.2

MIAO Fenghua, SONG Yueqiang， ZHOU Chenxing. Existence of Infinitely Many Small Solutions for p-BiharmonicEquation with Critical Nonlinearity[J].Journal of Jilin University Science Edition, 2015, 53(03): 367-371.

[1]	TANG Ying, LI Yongxiang. Existence and Uniqueness of Radial Solutions to Elliptic Boundary Value Problem with Gradient Terms on the Unit Ball [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1009-1014.
[2]	MA Xiaoqi, ZHAO Zhitao. Dynamic Analysis of a Class of Plant-Herbivore Diffusion System [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1057-1065.
[3]	MA Wenjun, SUN Liangliang. Existence of Random Attractors for Damped Suspension Bridge Equation with Additive Noise [J]. Journal of Jilin University Science Edition, 2021, 59(5): 1080-1088.
[4]	SHI Nuanfeng, FENG Lixin. Regularization Method for Inverse Source Problem of Fractional Heat Conduction Equation with Riemann-Liouville Derivative [J]. Journal of Jilin University Science Edition, 2021, 59(4): 743-752.
[5]	FU Qian. Existence of Radial Positive Solutions for a Class of Semipositone Elliptic Equations [J]. Journal of Jilin University Science Edition, 2021, 59(4): 753-762.
[6]	WANG Changjia, SHI Shaoli. Existence of Weak Solutions for a Class of Anisotropic Non-Newtonian Micropolar Fluid Equations [J]. Journal of Jilin University Science Edition, 2021, 59(4): 837-845.
[7]	SHI Jincheng, XIAO Shengzhong. Phragmén-Lindelof Alternative Results for a Class of Thermoelastic Plates [J]. Journal of Jilin University Science Edition, 2021, 59(4): 846-854.
[8]	LIAO Xiangyong, GAO Yanchao. Existence and Blow up Time Estimates of Solution for a Class of Fourth Order Hyperbolic Equations with Superlinear Source Terms [J]. Journal of Jilin University Science Edition, 2021, 59(3): 551-554.
[9]	XIE Chunlei, DU Runmei. Approximate Controllability of a Class of Semilinear Degenerate Parabolic Equations with Boundary Control Functions [J]. Journal of Jilin University Science Edition, 2021, 59(3): 563-567.
[10]	LI Yuanfei, GUO Lianhong, ZENG Peng. Spatial Blow up and Decay of Wave Equationin on Semi-infinite Cylinder and Exterior Region [J]. Journal of Jilin University Science Edition, 2021, 59(2): 196-206.
[11]	ZHAN Huashui, YUAN Hongjun. Uniqueness of Solutions to Degenerate Parabolic Equation with Variable Exponents [J]. Journal of Jilin University Science Edition, 2021, 59(1): 1-6.
[12]	LIN Fubiao, ZHANG Qianhong. Exact Solutions of the Liouville Equation and Reduced Transformation Equation and ψ(ξ) Expansion Method [J]. Journal of Jilin University Science Edition, 2021, 59(1): 27-33.
[13]	FAN Fangcheng, ZHOU Ran. Soliton Solutions of a Class of Discrete Integrable Systems [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1303-1308.
[14]	WANG Xuan, LIANG Yuting. Asymptotics of Solutions for Non-autonomous Classical Reaction-Diffusion Equation with Nonlinear Boundary Condition and Weak Fading Memory [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1309-1317.
[15]	SHI Jincheng, LI Yuanfei. Structural Stability of Brinkman-Forchheimer Model in Porous Medium [J]. Journal of Jilin University Science Edition, 2020, 58(6): 1318-1326.

Existence of Infinitely Many Small Solutions for p-BiharmonicEquation with Critical Nonlinearity

PDF (PC)

Like

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Metrics

Comments

Recommended 0