scientific article; zbMATH DE number 2217249

zbMath1150.53012arXivmath/0104091MaRDI QIDQ5699170

Andrea Malchiodi, Zindine Djadli, Mohameden Ould Ahmedou

Publication date: 27 September 2006

Full work available at URL: https://arxiv.org/abs/math/0104091

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Prescribing \(Q\)-curvature on higher dimensional spheres, Infinitely many peak solutions for a biharmonic equation involving critical exponent, Prescribing the \(Q\)-curvature problem on 6-dimensional manifolds, The Paneitz curvature problem on lower-dimensional spheres, Large singular solutions for conformal \(Q\)-curvature equations on \(\mathbb{S}^n\), A note on prescribed Q-curvature, Existence of conformal metrics with prescribed Q-curvature, The Nirenberg problem and its generalizations: a unified approach, Liouville type theorem to an integral system in the half-space, Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds, The Paneitz curvature problem on \(S^n\), Uniqueness theorem for integral equations and its application, Results of prescribing \(Q\)-curvature on \(S^{n}\), Compactness and existence results of the prescribing fractional \(Q\)-curvature problem on \(\mathbb{S}^n\), Q-curvature type problem on bounded domains of R n, Qualitative properties for solutions to conformally invariant fourth order critical systems, \(Q\)-curvature problem on \(S^{n}\) under flatness condition: the case \(\beta=n\), Prescribed \(Q\)-curvature flow on \(S^n\), Concentrating solutions for a biharmonic problem with supercritical growth, On the prescribed fractional \(Q\)-curvatures problem on \(\mathbb{S}^n\) under pinching conditions, Best constants in second-order Sobolev inequalities on Riemannian manifolds and applications., On a Nirenberg-type problem involving the square root of the Laplacian, On the prescribed Q-curvature problem on \(S^n\), Compactness of conformal metrics with constant \(Q\)-curvature. I, Topological arguments for an elliptic equation involving the fractional Laplacian, Unnamed Item, Liouville type results for semilinear biharmonic problems in exterior domains, The Paneitz equation in hyperbolic space, Existence results and a priori bounds for higher order elliptic equations and systems, On a fourth order Lichnerowicz type equation involving the Paneitz-Branson operator, Conformal metrics with prescribed \(Q\)-curvature on \(S^{n}\), Single blow-up solutions for a slightly subcritical biharmonic equation, Concentration and multiplicity of solutions for a fourth-order equation with critical nonlinearity, On a fourth order elliptic equation with critical nonlinearity in dimension six, Compactness for conformal metrics with constant \(Q\) curvature on locally conformally flat manifolds, Some existence results for a paneitz type problem via the theory of critical points at infinity, On the prescribed \(Q\)-curvature problem on \(S^n\), EXISTENCE AND UNIQUENESS OF WEAK AND CLASSICAL SOLUTIONS FOR A FOURTH-ORDER SEMILINEAR BOUNDARY VALUE PROBLEM, A subcritical approximation of the Paneitz problem on spheres, On a critical fourth order PDE with Navier boundary condition, Conformal invariants and partial differential equations, Positive supersolutions of fourth-order nonlinear elliptic equations: explicit estimates and Liouville theorems, Conformal metrics with prescribed fractional \(Q\)-curvatures on the standard \(n\)-dimensional sphere, The effect of pinching conditions in prescribing \(Q\)-curvature on standard spheres, Existence of conformal metrics with prescribed Q-curvature on manifolds, Liouville type theorem for higher-order elliptic system with Navier boundary condition

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The scalar-curvature problem on the standard three-dimensional sphere
• Non-linear partial differential operators and quantization procedures. Proceedings of a Workshop held at Clausthal, Federal Republic of Germany, 1981
• Differential geometric methods in mathematical physics. Proceedings of an International Conference Held at the Technical University of Clausthal, FRG, August 30 - September 2, 1983
• Conformal metrics with prescribed scalar curvature
• Group representations arising from Lorentz conformal geometry
• Essential unitarization of symplectics and applications to field quantization
• A perturbation result in prescribing scalar curvature on \(S^ n\)
• Estimates and extremals for zeta function determinants on four-manifolds
• Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
• On conformal deformations of metrics on \(S^n\)
• The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
• Perturbation of \(\Delta u+u^{(N+2)/(N-2)}=0\), the scalar curvature problem in \(\mathbb{R}^N\), and related topics
• The scalar curvature equation on 2- and 3-spheres
• Algebraic topology methods for the prescribed scalar curvature problem
• A classification of solutions of a conformally invariant fourth order equation in \(\mathbb{R}^n\)
• On the Chern-Gauss-Bonnet integral for conformal metrics on \(\mathbb{R}^4\)
• Paneitz-type operators and applications
• Compactification of a class of conformally flat 4-manifold
• On the prescribed scalar curvature problem on 4-manifolds
• Extremal metrics of zeta function determinants on 4-manifolds
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Prescribed scalar curvature on the \(n\)-sphere
• Non-existence of positive solutions of Lane-Emden systems
• An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
• PRESCRIBING A FOURTH ORDER CONFORMAL INVARIANT ON THE STANDARD SPHERE — PART I: A PERTURBATION RESULT
• Differential operators cononically associated to a conformal structure.
• Regularity of a Fourth Order Nonlinear PDE with Critical Exponent
• Harnack's inequality for cooperative weakly coupled elliptic systems