Multiple symmetric results for a class of biharmonic elliptic systems with critical homogeneous nonlinearity in \({{\mathbb{R}}^N}\)

DOI10.1016/S0252-9602(17)30099-1zbMath1399.35028OpenAlexW2759788793MaRDI QIDQ1752118

Zhi Ying Deng, Yi Sheng Huang

Publication date: 25 May 2018

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(17)30099-1

zbMATH Keywords

critical Sobolev exponent\(G\)-symmetric solutionsymmetric criticality principlebiharmonic elliptic systems

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Variational methods for elliptic systems (35J50) Symmetries, invariants, etc. in context of PDEs (35B06) Higher-order elliptic systems (35J48)

Related Items (4)

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ The existence and non-existence of sign-changing solutions to bi-harmonic equations with a \(p\)-Laplacian ⋮ On principal eigenvalues of biharmonic systems ⋮ Unnamed Item

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