A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type
From MaRDI portal
Publication:4686479
DOI10.1142/S0219199717500766zbMath1402.35107arXiv1605.05468OpenAlexW2963277276MaRDI QIDQ4686479
Publication date: 10 October 2018
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.05468
Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Second-order elliptic systems (35J47)
Related Items
A pointwise finite-dimensional reduction method for Einstein-Lichnerowicz-type systems: the six-dimensional case ⋮ Bubbling above the threshold of the scalar curvature in dimensions four and five ⋮ Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds. II
- Solutions to the Einstein-scalar field constraint equations with a small TT-tensor
- Sign-changing solutions to elliptic second order equations: glueing a peak to a degenerate critical manifold
- Bifurcating solutions of the Lichnerowicz equation
- Bubbling along boundary geodesics near the second critical exponent
- On the boundary spike layer solutions to a singularly perturbed Neumann problem
- Large energy entire solutions for the Yamabe equation
- A global compactness result for elliptic boundary value problems involving limiting nonlinearities
- Perturbation methods and semilinear elliptic problems on \(\mathbb R^n\)
- Stability and instability for Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
- Compactness of solutions to the Yamabe problem. III
- Non-compactness and infinite number of conformal initial data sets in high dimensions
- A variational analysis of Einstein-scalar field Lichnerowicz equations on compact Riemannian manifolds
- Stability for strongly coupled critical elliptic systems in a fully inhomogeneous medium
- A compactness theorem for the Yamabe problem
- Blow-up phenomena for the Yamabe equation. II
- Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian
- A note on the Sobolev inequality
- Two-bubble solutions in the super-critical Bahri-Coron's problem
- KIDs are non-generic
- From one bubble to several bubbles: the low-dimensional case.
- The role of the Green's function in a nonlinear elliptic equation involving the critical Sobolev exponent
- On the construction of single-peaked solutions to a singularly perturbed semilinear Dirichlet problem
- Stability and multiple solutions to Einstein-scalar field Lichnerowicz equation on manifolds
- Schrödinger-Poisson systems in the 3-sphere
- Compactness and stability for nonlinear elliptic equations
- Effective multiplicity for the Einstein-scalar field Lichnerowicz equation
- Arbitrary number of positive solutions for an elliptic problem with critical nonlinearity
- The effect of linear perturbations on the Yamabe problem
- The Einstein-scalar field constraint system in the positive case
- A priori estimates for the Yamabe problem in the non-locally conformally flat case
- Examples of non-isolated blow-up for perturbations of the scalar curvature equation on non-locally conformally flat manifolds
- Stability of the Einstein-Lichnerowicz constraint system
- Blow-up phenomena for the Yamabe equation
- Asymptotic analysis for fourth order Paneitz equations with critical growth
- Initial data for rotating cosmologies
- The Yamabe problem
- YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
- Stability and Instability of the Einstein–Lichnerowicz Constraint System
- On single interior spike solutions of the Gierer–Meinhardt system: uniqueness and spectrum estimates
- The Lichnerowicz equation in the closed case of the Einstein-Maxwell theory
- Non-compactness and multiplicity results for the Yamabe problem on \(S^n\)