Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearities

Francesco Esposito;  ;

doi:10.3934/dcds.2020022

Symmetry and monotonicity properties of singular solutions to some cooperative semilinear elliptic systems involving critical nonlinearities

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2020022 ◽

2020 ◽

Vol 40 (1) ◽

pp. 549-577 ◽

Cited By ~ 1

Author(s):

Francesco Esposito ◽

◽

Keyword(s):

Elliptic Systems ◽

Singular Solutions ◽

Semilinear Elliptic Systems ◽

Critical Nonlinearities ◽

Semilinear Elliptic ◽

Monotonicity Properties

Download Full-text

Existence and Nonexistence of Positive Singular Solutions for a Class of Semilinear Elliptic Systems

Archive for Rational Mechanics and Analysis ◽

10.1007/s002050050066 ◽

1997 ◽

Vol 140 (3) ◽

pp. 253-284 ◽

Cited By ~ 14

Author(s):

Marta García-Huidobro ◽

Raú Manásevich ◽

Enzo Mitidieri ◽

Cecilia S. Yarur

Keyword(s):

Elliptic Systems ◽

Singular Solutions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Existence And Nonexistence

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 2

Author(s):

Hui Yang ◽

Wenming Zou

Keyword(s):

Fractional Laplacian ◽

Elliptic Systems ◽

Liouville Type ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Liouville Type Theorems

Download Full-text

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 ◽

Cited By ~ 1

Author(s):

Li Yuxiang

Keyword(s):

A Priori Estimates ◽

A Priori ◽

Elliptic Systems ◽

Optimal Conditions ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic ◽

Priori Estimates

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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 ◽

Cited By ~ 4

Author(s):

Guoqing Zhang ◽

Yunkai Wang

Keyword(s):

Elliptic Systems ◽

Existence Results ◽

Semilinear Elliptic Systems ◽

Semilinear Elliptic

Download Full-text

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

Download Full-text