The Yamabe problem on manifolds with boundary: Existence and compactness results

From MaRDI portal
Publication:1974950

DOI10.1215/S0012-7094-99-09916-7zbMath0945.53023MaRDI QIDQ1974950

Zheng-Chao Han, Yan-yan Li

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)




Related Items

Concentration solutions to the singularly prescribed Gaussian and geodesic curvatures problem, Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with non umbilic boundary, PRESCRIBING MEAN CURVATURE ON 𝔹n, Blowing up solutions for supercritical Yamabe problems on manifolds with non-umbilic boundary, First eigenvalues of geometric operators under the Yamabe flow, Conformal metrics with prescribed gaussian and geodesic curvatures, Smooth Yamabe invariant with boundary, Conformal metrics with prescribed scalar and mean curvature, Estimates and existence results for a fully nonlinear Yamabe problem on manifolds with boundary, Prescribing Gaussian and geodesic curvature on disks, The Nirenberg problem and its generalizations: a unified approach, The prescribed boundary mean curvature problem on the standard \(n\)-dimensional ball, 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, An existence theorem on the isoperimetric ratio over scalar-flat conformal classes, Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric, On the prescribed boundary mean curvature problem via local Pohozaev identities, Prescribing the scalar curvature problem on the four-dimensional half sphere, Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant, Harmonically free group actions and equivariant bifurcation in the Yamabe problem, Compactness and blow up results for doubly perturbed Yamabe problems on manifolds with umbilic boundary, On the prescribed fractional \(Q\)-curvatures problem on \(\mathbb{S}^n\) under pinching conditions, Prescribing scalar and boundary mean curvature on the three dimensional half sphere, Stability of the separable solutions for a nonlinear boundary diffusion problem, Compactness for conformal scalar-flat metrics on umbilic boundary manifolds, Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation, Blow-up phenomena for scalar-flat metrics on manifolds with boundary, Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary, A fully nonlinear version of the Yamabe problem on locally conformally flat manifolds with umbilic boundary, Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds, Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary, Further results on the fractional Yamabe problem: the umbilic case, Solutions for the prescribing mean curvature equation, Minimization of scalar curvature in conformal geometry, The sharp affine \(L^2\) Sobolev trace inequality and variants, On the bifurcation of solutions of the Yamabe problem in product manifolds with minimal boundary, Compactness and non-compactness for the Yamabe problem on manifolds with boundary, A degree theory for second order nonlinear elliptic operators with nonlinear oblique boundary conditions, Uniqueness theorems for fully nonlinear conformal equations on subdomains of the sphere, A compactness theorem for scalar-flat metrics on manifolds with boundary, Existence and multiplicity results for the scalar curvature problem on the half-sphere \(\mathbb S^3_+\), The prescribed boundary mean curvature problem on \(\mathbb B^4\), Compactness and non-compactness for Yamabe-type problems, The scalar curvature problem on the four dimensional half sphere, A fully nonlinear version of the Yamabe problem on manifolds with boundary, Quasilinear elliptic inequalities on complete Riemannian manifolds, 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, Some nonlinear elliptic equations from geometry, Conformal curvature flows on compact manifold of negative Yamabe constant, COMPACTNESS AND GLOBAL ESTIMATES FOR A FOURTH ORDER EQUATION OF CRITICAL SOBOLEV GROWTH ARISING FROM CONFORMAL GEOMETRY, Prescribing curvatures on three dimensional Riemannian manifolds with boundaries, Compactness results for linearly perturbed Yamabe problem on manifolds with boundary, Blowing-up solutions for supercritical Yamabe problems on manifolds with umbilic boundary, A compactness theorem for scalar-flat metrics on 3-manifolds with boundary, Evolution of the Steklov eigenvalue along the conformal mean curvature flow, Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations, Conformal metrics with prescribed boundary mean curvature on balls, Compactness of solutions to the Yamabe problem. II, The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds, Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method, Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow



Cites Work