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 ◽

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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The Nehari manifold approach for multiplicity of positive solutions to semilinear elliptic system involving multi-singular inverse square potentials with Sobolev critical exponent

Mathematical Sciences ◽

10.1007/s40096-017-0228-y ◽

2017 ◽

Vol 11 (4) ◽

pp. 267-273

Author(s):

A. Akhavan ◽

H. Rahimi

Keyword(s):

Critical Exponent ◽

Elliptic System ◽

Positive Solutions ◽

Nehari Manifold ◽

Semilinear Elliptic ◽

Semilinear Elliptic System ◽

Multiplicity Of Positive Solutions ◽

The Nehari Manifold ◽

Inverse Square Potentials ◽

Sobolev Critical Exponent

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NONEXISTENCE RESULTS AND EXISTENCE THEOREMS OF POSITIVE SOLUTIONS OF DIRICHLET PROBLEMS FOR A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS OF SECOND ORDER

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30454-5 ◽

1987 ◽

Vol 7 (3) ◽

pp. 299-309

Author(s):

Chen Baoyao

Keyword(s):

Positive Solutions ◽

Existence Theorems ◽

Elliptic Systems ◽

Second Order ◽

Dirichlet Problems ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Normalized ground states for semilinear elliptic systems with critical and subcritical nonlinearities

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-021-00878-w ◽

2021 ◽

Vol 23 (3) ◽

Author(s):

Houwang Li ◽

Wenming Zou

Keyword(s):

Ground States ◽

Elliptic Systems ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Symmetry of components and Liouville-type theorems for semilinear elliptic systems involving the fractional Laplacian

Nonlinear Analysis ◽

10.1016/j.na.2018.10.006 ◽

2019 ◽

Vol 180 ◽

pp. 208-224 ◽

Author(s):

Hui Yang ◽

Wenming Zou

Keyword(s):

Fractional Laplacian ◽

Elliptic Systems ◽

Liouville Type ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Liouville Type Theorems

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Optimal conditions for a priori estimates for semilinear elliptic systems with two components

Nonlinear Analysis ◽

10.1016/j.na.2009.09.026 ◽

2010 ◽

Vol 72 (3-4) ◽

pp. 1850-1864 ◽

Author(s):

Li Yuxiang

Keyword(s):

A Priori Estimates ◽

A Priori ◽

Elliptic Systems ◽

Optimal Conditions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Priori Estimates

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Existence of Solutions for a Class of Semilinear Elliptic Systems via Variational Methods

Differential and Difference Equations with Applications - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-1-4614-7333-6_46 ◽

2013 ◽

pp. 517-524

Author(s):

G. A. Afrouzi ◽

M. Mirzapour

Keyword(s):

Variational Methods ◽

Existence Of Solutions ◽

Elliptic Systems ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Existence and multiplicity of solutions for semilinear elliptic systems involving Hardy-Sobolev critical nonlinearity

Differential Equations & Applications ◽

10.7153/dea-05-33 ◽

2013 ◽

pp. 561-576

Author(s):

Nemat Nyamoradi ◽

Mohsen Shekarbigi

Keyword(s):

Elliptic Systems ◽

Critical Nonlinearity ◽

Semilinear Elliptic Systems ◽

Multiplicity Of Solutions ◽

Existence And Multiplicity ◽

Semilinear Elliptic

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ON A CLASS OF SEMILINEAR ELLIPTIC SYSTEMS INVOLVING GRUSHIN TYPE OPERATOR

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2014.29.1.037 ◽

2014 ◽

Vol 29 (1) ◽

pp. 37-50

Author(s):

Thanh Chung Nguyen

Keyword(s):

Elliptic Systems ◽

Type Operator ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Some existence results for a class of degenerate semilinear elliptic systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2006.12.002 ◽

2007 ◽

Vol 333 (2) ◽

pp. 904-918 ◽

Author(s):

Guoqing Zhang ◽

Yunkai Wang

Keyword(s):

Elliptic Systems ◽

Existence Results ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

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Optimal conditions for L∞-regularity and a priori estimates for semilinear elliptic systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2008.10.013 ◽

2009 ◽

Vol 351 (1) ◽

pp. 257-276

Author(s):

Yuxiang Li

Keyword(s):

A Priori Estimates ◽

A Priori ◽

Elliptic Systems ◽

Optimal Conditions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Priori Estimates

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