On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in \(\mathbb{R}^{N}\)

DOI10.1186/s13660-016-1179-9zbMath1346.35049OpenAlexW2524650857WikidataQ59466275 ScholiaQ59466275MaRDI QIDQ311352

Qifeng Wang, Zhi Ying Deng, Yi Sheng Huang

Publication date: 29 September 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1179-9

zbMATH Keywords

Caffarelli-Kohn-Nirenberg inequality\(G\)-symmetric solutionsemilinear elliptic systemsymmetric criticality principle

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Cites Work

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• Existence and multiplicity of solutions to a singular elliptic system with critical Sobolev-Hardy exponents and concave-convex nonlinearities
• Elliptic systems involving multiple critical nonlinearities and symmetric multi-polar potentials
• Positive least energy solutions and phase separation for coupled Schrödinger equations with critical exponent: higher dimensional case
• On some nonlinear elliptic PDEs with Sobolev-Hardy critical exponents and a Li-Lin open problem
• The principle of symmetric criticality
• On symmetric solutions of a singular elliptic equation with critical Sobolev--Hardy exponent
• The Nehari manifold for a fractional \(p\)-Laplacian system involving concave-convex nonlinearities
• The concentration-compactness principle in the calculus of variations. The limit case. I
• Elliptic systems involving the critical exponents and potentials
• Infinitely many nonradial solutions of a Euclidean scalar field equation
• On systems of elliptic equations involving subcritical or critical Sobolev exponents
• Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents
• Existence of symmetric solutions for singular semilinear elliptic systems with critical Hardy-Sobolev exponents
• Dual variational methods in critical point theory and applications
• On elliptic problems with two critical Hardy-Sobolev exponents at the same pole
• Fractional Sobolev-Hardy inequality in \(\mathbb{R}^N\)
• Systems of quasilinear elliptic equations involving multiple homogeneous nonlinearities
• Existence and multiplicity of symmetric solutions for the weighted critical quasilinear problems
• Asymptotic behaviors of solutions to quasilinear elliptic equations with critical Sobolev growth and Hardy potential
• On the existence of G-symmetric entire solutions for semilinear elliptic equations
• Existence results for critical singular elliptic systems
• Multiplicity of solutions for a noncooperative \(p\)-Laplacian elliptic system in \(\mathbb R^N\)
• Existence of multiple positive solutions for semilinear elliptic systems involving \(m\) critical Hardy-Sobolev exponents and an \(m\) sign-changing weight function
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
• Nonconvex minimization problems
• On symmetric solutions of an elliptic equation with a nonlinearity involving critical Sobolev exponent