Equivariant solutions to the optimal partition problem for the prescribed \(Q\)-curvature equation
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Publication:6196199
DOI10.1007/s12220-024-01554-4arXiv2305.06573MaRDI QIDQ6196199
Juan Carlos Fernández, Oscar Palmas, Jonatán Torres Orozco
Publication date: 14 March 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.06573
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Group actions on manifolds and cell complexes in low dimensions (57M60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
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- Explicit formulas for GJMS-operators and \(Q\)-curvatures
- Einstein metrics on principal torus bundles
- Fractional Laplacian in conformal geometry
- A strong maximum principle for the Paneitz operator and a non-local flow for the \(\mathcal Q\)-curvature
- The principle of symmetric criticality
- On the existence of slices for actions of non-compact Lie groups
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- Non-homogeneous Kähler-Einstein metrics on compact complex manifolds. II
- On a conformally invariant elliptic equation on \(R^ n\)
- Curvatures of left invariant metrics on Lie groups
- Inhomogeneous Einstein metrics on low-dimensional spheres and other low-dimensional spaces
- Paneitz-type operators and applications
- The initial value problem for cohomogeneity one Einstein metrics
- Multiplicity of nodal solutions to the Yamabe problem
- Invariant solutions of the Yamabe equation on the Koiso-Cao soliton
- Existence and phase separation of entire solutions to a pure critical competitive elliptic system
- Hebey-Vaugon conjecture. II
- Nehari's problem and competing species systems.
- Kähler--Ricci solitons on toric manifolds with positive first Chern class
- New examples of inhomogeneous Einstein manifolds of positive scalar curvature
- Minimax theorems
- Geometry of isoparametric hypersurfaces in Riemannian manifolds
- Critical polyharmonic systems and optimal partitions
- Yamabe systems and optimal partitions on manifolds with symmetries
- Sign-changing solutions for elliptic problem involving the sixth order \textit{GJMS} operator on compact manifold
- Nodal solutions for a Paneitz-Branson type equation
- Global bifurcation techniques for Yamabe type equations on Riemannian manifolds
- Rigidity of gradient Ricci solitons
- Low energy nodal solutions to the Yamabe equation
- A simple variational approach to weakly coupled competitive elliptic systems
- Laplacian operators and \(Q\)-curvature on conformally Einstein manifolds
- Blow-up phenomena for the Yamabe equation
- Admissible $Q-$curvatures under isometries for the conformal GJMS operators
- Conformally Invariant Powers of the Laplacian, I: Existence
- Riemannian Geometry
- Recent Progress on Ricci Solitons
- On gradient Ricci solitons with symmetry
- The Yamabe problem
- Explicit Functional Determinants in Four Dimensions
- Nodal solutions for fourth order elliptic equations with critical exponent on compact manifolds
- Multiple solutions of a critical polyharmonic equation
- Sharp Inequalities, the Functional Determinant, and the Complementary Series
- Nonhomogeneous polyharmonic elliptic problems involving GJMS operator on Riemannian manifold
- Phase Separation, Optimal Partitions, and Nodal Solutions to the Yamabe Equation on the Sphere
- Nodal solutions for elliptic equation involving the GJMS operators on compact manifolds
- Lie Groups and Geometric Aspects of Isometric Actions
- Lie Groups, Lie Algebras, and Representations
- Weighted Sobolev-type embedding theorems for functions with symmetries
- Topology of Quaternionic Manifolds
- Existence of Gradient Kahler-Ricci Solitons
- Some properties of the Paneitz operator and nodal solutions to elliptic equations
- Regularity of weak solutions to critical exponent variational equations
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