YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
From MaRDI portal
Publication:4514918
DOI10.1142/S021919979900002XzbMath0973.53029OpenAlexW2038413106WikidataQ115245741 ScholiaQ115245741MaRDI QIDQ4514918
Publication date: 14 November 2000
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021919979900002x
Related Items
Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents, Infinite-time blowing-up solutions to small perturbations of the Yamabe flow, Prescribing Morse Scalar Curvatures: Pinching and Morse Theory, Sobolev inequalities for the Hardy-Schrödinger operator: extremals and critical dimensions, Compactness of solutions to the Yamabe problem, Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary, SOME COMPACTNESS RESULTS RELATED TO SCALAR CURVATURE DEFORMATION, A priori estimate for a family of semi-linear elliptic equations with critical nonlinearity, Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds, Schrödinger–Poisson–Proca systems in EMS regime, Multiplicity of solutions for critical Kirchhoff type equations, Proof of the positive mass conjecture, On some problems of scalar curvature, On the existence and multiplicity of solutions for a class of singular elliptic problems, Compactness of solutions to nonlocal elliptic equations, Complete solution of the \(C^0\) compactness of the set of solutions of the Yamabe equation, A non-compactness result on the fractional Yamabe problem in large dimensions, Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities, A generalized mass involving higher order symmetric functions of the curvature tensor, Infinitely many blowing-up solutions for Yamabe-type problems on manifolds with boundary, Compactness for a class of Yamabe-type problems on manifolds with boundary, Compactness of solutions to the Yamabe problem. III, Sign-changing bubble towers for asymptotically critical elliptic equations on Riemannian manifolds, Schrödinger-Poisson systems in \(4\)-dimensional closed manifolds, Infinitely many solutions for cubic nonlinear Schrödinger equations in dimension four, Clustered solutions for supercritical elliptic equations on Riemannian manifolds, Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric, Strong convergence in Bopp-Podolsky-Proca type constructions, Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity, Prescribing Morse scalar curvatures, Clustered solutions to low-order perturbations of fractional Yamabe equations, Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case, Non-compactness of the prescribed \(Q\)-curvature problem in large dimensions, Conformally prescribed scalar curvature on orbifolds, Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary, The question of interior blow-up points for an elliptic Neumann problem: the critical case., Compactness for conformal scalar-flat metrics on umbilic boundary manifolds, Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation, Perturbative techniques in conformal geometry, Blow-up phenomena for scalar-flat metrics on manifolds with boundary, Stationary Kirchhoff equations with powers, The effect of linear perturbations on the Yamabe problem, A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound, A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary, Multi-bump analysis for Trudinger-Moser nonlinearities I. Quantification and location of concentration points, Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case, Compactness of conformal metrics with constant \(Q\)-curvature. I, A uniform estimate for scalar curvature equation on manifolds of dimension \(4\), Compactness of sign-changing solutions to scalar curvature-type equations with bounded negative part, The Yamabe problem on manifolds with boundary: Existence and compactness results, Sharp asymptotics and compactness for local low energy solutions of critical elliptic systems in potential form, Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary, Einstein-Lichnerowicz type singular perturbations of critical nonlinear elliptic equations in dimension 3, The Lin-Ni’s problem for mean convex domains, Generic properties of critical points of the Weyl tensor, Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations, Positive clusters for smooth perturbations of a critical elliptic equation in dimensions four and five, Blow-up examples for second order elliptic PDEs of critical Sobolev growth, Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities, Blowing-up solutions for the Yamabe equation, A compactness theorem for scalar-flat metrics on manifolds with boundary, A Neumann problem with critical exponent in nonconvex domains and Lin-Ni’s conjecture, Towering phenomena for the Yamabe equation on symmetric manifolds, On some conformally invariant fully nonlinear equations. II: Liouville, Harnack and Yamabe, Non-existence results about \(-\Delta u = u^{\frac{n+2}{n-2}}\) on non-starshaped domains, Diagonal Compactness for Critical Elliptic Systems in Potential Form, EXISTENCE ANDA PRIORIBOUNDS FOR ELECTROSTATIC KLEIN–GORDON–MAXWELL SYSTEMS IN FULLY INHOMOGENEOUS SPACES, MULTIPLE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS ON COMPACT RIEMANNIAN MANIFOLDS, Blow-up phenomena for the Yamabe equation, A pointwise finite-dimensional reduction method for a fully coupled system of Einstein–Lichnerowicz type, Stationary Kirchhoff systems in closed high dimensional manifolds, On the negativity of Ricci curvatures of complete conformal metrics, Bubbling above the threshold of the scalar curvature in dimensions four and five, A compactness result for scalar-flat metrics on low dimensional manifolds with umbilic boundary, A compactness theorem for the fractional Yamabe problem. I: The nonumbilic conformal infinity, On the \(C^0\) compactness of the set of the solutions of the Yamabe equation, FOUNTAIN-LIKE SOLUTIONS FOR NONLINEAR ELLIPTIC EQUATIONS WITH CRITICAL GROWTH AND HARDY POTENTIAL, Stationary Kirchhoff systems in closed 3-dimensional manifolds, COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY, Some uniform estimates for scalar curvature type equations, A compactness theorem on Branson's \(Q\)-curvature equation, Compactness results for linearly perturbed Yamabe problem on manifolds with boundary, Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary, Recent results on stationary critical Kirchhoff systems in closed manifolds, A compactness theorem for scalar-flat metrics on 3-manifolds with boundary, On the Prescribed Scalar and Zero Mean Curvature on 3-Dimensional Manifolds With Umbilic Boundary, Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations, Towers of bubbles for Yamabe-type equations and for the Brézis-Nirenberg problem in dimensions \(n \geq 7\), Uniqueness results through a priori estimates. I: A three dimensional Neumann problem, Uniqueness results through a priori estimates. II: Dirichlet problem, Stability and instability results for sign-changing solutions to second-order critical elliptic equations, Blow-up examples for the Yamabe problem, Bounded stability for strongly coupled critical elliptic systems below the geometric threshold of the conformal Laplacian, Compactness of solutions to the Yamabe problem. II, Sign-Changing Blow-Up for Scalar Curvature Type Equations, Klein-Gordon-Maxwell equations in high dimensions, Sign-changing blow-up for the Yamabe equation at the lowest energy level, Quantitative stability for minimizing Yamabe metrics, $\sup \times \inf$ Inequalities for the Scalar Curvature Equation in Dimensions 4 and 5, Effective multiplicity for the Einstein-scalar field Lichnerowicz equation, Blowing-up solutions to Bopp-Podolsky-Schrödinger-Proca and Schrödinger-Poisson-Proca systems in the electro-magneto-static case, Infinitely many sign-changing solutions of a critical fractional equation
Cites Work
- Unnamed Item
- Unnamed Item
- Prescribing Gaussian curvature on \(S^ 2\)
- The scalar-curvature problem on the standard three-dimensional sphere
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Conformal metrics with prescribed scalar curvature
- Symmetry and related properties via the maximum principle
- A perturbation result in prescribing scalar curvature on \(S^ n\)
- An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\)
- Scalar curvature and conformal deformation of Riemannian structure
- On the proof of the positive mass conjecture in general relativity
- Conformal metrics with prescribed curvature on \(S^ n\)
- Algebraic topology methods for the prescribed scalar curvature problem
- A note on the Kazdan-Warner type condition
- On the prescribed scalar curvature problem on 4-manifolds
- Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
- Best constants in the Sobolev imbedding theorem
- An invariant for Yamabe-type flows with applications to scalar-curvature problems in high dimension
- The Nirenberg problem in a domain with boundary
- The conjectures on conformal transformations of Riemannian manifolds
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents
- The Yamabe problem
- Global and local behavior of positive solutions of nonlinear elliptic equations
- Remarks on some quasilinear elliptic equations
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains
- A necessary and sufficient condition for the nirenberg problem
- Non-existence and symmetry of solutions to the scalar curvature equation
- Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness