Symmetric solutions for a class of singular biharmonic elliptic systems involving critical exponents

DOI10.1016/j.amc.2015.04.099zbMath1410.35033OpenAlexW256144132MaRDI QIDQ1659659

Zhi Ying Deng, Yi Sheng Huang

Publication date: 22 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.099

zbMATH Keywords

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

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Symmetries, invariants, etc. in context of PDEs (35B06) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for higher-order elliptic systems (35J58)

Related Items

On \(G\)-invariant solutions of a singular biharmonic elliptic system involving multiple critical exponents in \(R^N\) ⋮ On symmetric solutions of a critical semilinear elliptic system involving the Caffarelli-Kohn-Nirenberg inequality in \(\mathbb{R}^{N}\) ⋮ Multiple symmetric results for singular quasilinear elliptic systems with critical homogeneous nonlinearity ⋮ ON A CLASS OF NONCOOPERATIVE FOURTH-ORDER ELLIPTIC SYSTEMS WITH NONLOCAL TERMS AND CRITICAL GROWTH ⋮ Positive symmetric results for a weighted quasilinear elliptic system with multiple critical exponents in \(\mathbb{R}^{N}\) ⋮ Multiple solutions for a non-cooperative elliptic system of Kirchhoff type involving \(p\)-biharmonic operator and critical growth ⋮ Ground states solutions for modified fourth-order elliptic systems with steep well potential

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