Sign-changing solutions for elliptic problem involving the sixth order \textit{GJMS} operator on compact manifold

DOI10.1007/s00030-022-00756-5zbMath1492.58013OpenAlexW4212987512MaRDI QIDQ2119252

Mohamed Bekiri, Mohammed Benalili

Publication date: 23 March 2022

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-022-00756-5

zbMATH Keywords

sign-changing solutionscompact manifold with boundarysixth order GJMS operator

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Explicit formulas for GJMS-operators and \(Q\)-curvatures
• GJMS-type operators on a compact Riemannian manifold: best constants and Coron-type solutions
• A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature
• A quartic conformally covariant differential operator for arbitrary pseudo-Riemannian manifolds (Summary)
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Mountain pass critical points for Paneitz-Branson operators.
• Paneitz-type operators and applications
• Remarks on GJMS operator of order six
• The Ambient Metric (AM-178)
• PRESCRIBING A FOURTH ORDER CONFORMAL INVARIANT ON THE STANDARD SPHERE — PART I: A PERTURBATION RESULT
• Admissible $Q-$curvatures under isometries for the conformal GJMS operators
• Conformally Invariant Powers of the Laplacian, I: Existence
• The best sobolev constant
• The Yamabe problem
• Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds
• Sharp Inequalities, the Functional Determinant, and the Complementary Series
• Nodal solutions on nonlocally conformally flat Riemannian manifolds with boundary

This page was built for publication: Sign-changing solutions for elliptic problem involving the sixth order \textit{GJMS} operator on compact manifold