On elliptic systems with Sobolev critical exponent

Yanfang Peng

doi:10.3934/dcds.2016.36.3357

On elliptic systems with Sobolev critical exponent

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2016.36.3357 ◽

2015 ◽

Vol 36 (6) ◽

pp. 3357-3373

Author(s):

Yanfang Peng

Keyword(s):

Critical Exponent ◽

Elliptic Systems ◽

Sobolev Critical Exponent

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Multiple solutions for a class of biharmonic elliptic systems with Sobolev critical exponent

Nonlinear Analysis ◽

10.1016/j.na.2011.06.018 ◽

2011 ◽

Vol 74 (17) ◽

pp. 6371-6382 ◽

Cited By ~ 12

Author(s):

Dengfeng Lü

Keyword(s):

Critical Exponent ◽

Multiple Solutions ◽

Elliptic Systems ◽

Sobolev Critical Exponent

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Asymptotic behavior of the least-energy solutions of a semilinear elliptic equation with the Hardy–Sobolev critical exponent

Journal of Differential Equations ◽

10.1016/j.jde.2016.11.005 ◽

2017 ◽

Vol 262 (3) ◽

pp. 3107-3131 ◽

Cited By ~ 5

Author(s):

Masato Hashizume

Keyword(s):

Asymptotic Behavior ◽

Elliptic Equation ◽

Critical Exponent ◽

Semilinear Elliptic Equation ◽

Semilinear Elliptic ◽

Least Energy Solutions ◽

Sobolev Critical Exponent ◽

Least Energy

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Existence and multiplicity of solutions for Schrödinger equation with inverse square potential and Hardy–Sobolev critical exponent

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.10.002 ◽

2019 ◽

Vol 46 ◽

pp. 525-544 ◽

Cited By ~ 1

Author(s):

Cong Wang ◽

Yan-Ying Shang

Keyword(s):

Schrödinger Equation ◽

Critical Exponent ◽

Schrodinger Equation ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Sobolev Critical Exponent

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On the quasilinear elliptic problem with a Hardy-Sobolev critical exponent

Dynamics of Partial Differential Equations ◽

10.4310/dpde.2011.v8.n3.a3 ◽

2011 ◽

Vol 8 (3) ◽

pp. 225-237 ◽

Cited By ~ 2

Author(s):

Guanwei Chen ◽

Shiwang Ma

Keyword(s):

Critical Exponent ◽

Elliptic Problem ◽

Quasilinear Elliptic Problem ◽

Sobolev Critical Exponent ◽

Quasilinear Elliptic

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The Nehari manifold for indefinite semilinear elliptic systems involving critical exponent

Applied Mathematics and Computation ◽

10.1016/j.amc.2012.04.026 ◽

2012 ◽

Vol 218 (22) ◽

pp. 10817-10828 ◽

Cited By ~ 6

Author(s):

Ching-yu Chen ◽

Tsung-fang Wu

Keyword(s):

Critical Exponent ◽

Elliptic Systems ◽

Nehari Manifold ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

The Nehari Manifold

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Some Results for a Class of Kirchhoff-Type Problems with Hardy–Sobolev Critical Exponent

Mediterranean Journal of Mathematics ◽

10.1007/s00009-019-1349-3 ◽

2019 ◽

Vol 16 (3) ◽

Author(s):

Hong-Ying Li ◽

Yang Pu ◽

Jia-Feng Liao

Keyword(s):

Critical Exponent ◽

Kirchhoff Type ◽

Sobolev Critical Exponent ◽

Kirchhoff Type Problems

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On the Kirchhoff type Choquard problem with Hardy-Littlewood-Sobolev critical exponent

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2020.124075 ◽

2020 ◽

Vol 488 (2) ◽

pp. 124075

Author(s):

Jie Rui

Keyword(s):

Critical Exponent ◽

Kirchhoff Type ◽

Sobolev Critical Exponent

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Multiple solutions to the Kirchhoff fractional equation involving Hardy–Littlewood–Sobolev critical exponent

Boundary Value Problems ◽

10.1186/s13661-019-1239-4 ◽

2019 ◽

Vol 2019 (1) ◽

Cited By ~ 1

Author(s):

Jichao Wang ◽

Jian Zhang ◽

Yujun Cui

Keyword(s):

Critical Exponent ◽

Multiple Solutions ◽

Sobolev Critical Exponent ◽

Fractional Equation

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Multiple positive solutions for linearly coupled nonlinear elliptic systems with critical exponent

Journal of Differential Equations ◽

10.1016/j.jde.2017.02.053 ◽

2017 ◽

Vol 263 (1) ◽

pp. 709-731 ◽

Cited By ~ 8

Author(s):

Shuangjie Peng ◽

Wei Shuai ◽

Qingfang Wang

Keyword(s):

Critical Exponent ◽

Positive Solutions ◽

Elliptic Systems ◽

Multiple Positive Solutions ◽

Nonlinear Elliptic Systems ◽

Nonlinear Elliptic

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On a K-component elliptic system with the Sobolev critical exponent in high dimensions: the repulsive case

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-017-1252-3 ◽

2017 ◽

Vol 56 (5) ◽

Cited By ~ 6

Author(s):

Yuanze Wu

Keyword(s):

Critical Exponent ◽

Elliptic System ◽

High Dimensions ◽

Sobolev Critical Exponent

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