A generalization of the Yamabe flow for manifolds with boundary.
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Publication:1811382
DOI10.4310/AJM.2002.v6.n4.a2zbMath1039.53035MaRDI QIDQ1811382
Publication date: 9 October 2003
Published in: The Asian Journal of Mathematics (Search for Journal in Brave)
Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
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Conformal metrics on the unit ball with prescribed mean curvature ⋮ First eigenvalues of geometric operators under the Yamabe flow ⋮ Evolution of curvatures on a surface with boundary to prescribed functions ⋮ Smooth Yamabe invariant with boundary ⋮ Prescribing the scalar curvature problem on the four-dimensional half sphere ⋮ Yamabe solitons with boundary ⋮ Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant ⋮ Slowly converging Yamabe-type flow on manifolds with boundary ⋮ First eigenvalues evolution for some geometric operators along the Yamabe flow ⋮ Doubling of asymptotically flat half-spaces and the Riemannian Penrose inequality ⋮ The weighted Yamabe flow with boundary ⋮ Stability of the separable solutions for a nonlinear boundary diffusion problem ⋮ The Yamabe flow on incomplete manifolds ⋮ 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 ⋮ The second generalized Yamabe invariant and conformal mean curvature flow on manifolds with boundary ⋮ Yamabe flow and Myers type theorem on complete manifolds ⋮ Counterexamples to C2 Boundary Estimates for a Fully Nonlinear Yamabe Problem on Manifolds with Boundary ⋮ Further results on the fractional Yamabe problem: the umbilic case ⋮ Continuous maximal regularity on uniformly regular Riemannian manifolds ⋮ A Morse theoretical approach for the boundary mean curvature problem on \(\mathbb B^4\) ⋮ Extending Yamabe flow on complete Riemannian manifolds ⋮ Cohomogeneity-one quasi-Einstein metrics ⋮ Conformal curvature flows on compact manifold of negative Yamabe constant ⋮ Prescribing curvatures on three dimensional Riemannian manifolds with boundaries ⋮ Two flow approaches to the Loewner-Nirenberg problem on manifolds ⋮ Monotonicity of the Yamabe invariant under connect sum over the boundary ⋮ Evolution of the Steklov eigenvalue along the conformal mean curvature flow ⋮ On the Prescribed Scalar and Zero Mean Curvature on 3-Dimensional Manifolds With Umbilic Boundary ⋮ Equivariant Yamabe problem with boundary ⋮ The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds ⋮ Gradient estimates for a general type of nonlinear parabolic equations under geometric conditions and related problems ⋮ Convergence of scalar-flat metrics on manifolds with boundary under a Yamabe-type flow
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