Some properties of the Paneitz operator and nodal solutions to elliptic equations

DOI10.1080/17476933.2015.1131684zbMath1346.58006OpenAlexW2318728950MaRDI QIDQ5739790

Mohammed Benalili, Hichem Boughazi

Publication date: 20 July 2016

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2015.1131684

zbMATH Keywords

Einstein manifoldnodal solutionPaneitz invariant

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

On the singular second-order elliptic equation ⋮ Nodal solutions for a Paneitz-Branson type equation ⋮ Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation ⋮ The first GJMS invariant

Cites Work

• The second Yamabe invariant with singularities
• Nonlinear elliptic fourth order equations existence and multiplicity results
• Fourth order equations of critical Sobolev growth. Energy function and solutions of bounded energy in the conformally flat case
• Group representations arising from Lorentz conformal geometry
• Paneitz-type operators and applications
• Elliptic equations of fourth-order with critical exponents on compact Riemannian manifolds
• The second Yamabe invariant
• Second eigenvalue of the Yamabe operator and applications
• NODAL SOLUTIONS TO QUASILINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS
• Coercivity and Struwe's compactness for Paneitz type operators with constant coefficients

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