L p -Green potential estimates on noncompact Riemannian manifolds
From MaRDI portal
Publication:5251287
DOI10.1063/1.3447730zbMath1311.58010arXiv0908.2173OpenAlexW3102103814WikidataQ115333425 ScholiaQ115333425MaRDI QIDQ5251287
Publication date: 19 May 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0908.2173
Elliptic equations on manifolds, general theory (58J05) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Isoperimetric problems for polytopes (52B60)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Hardy-Littlewood theory for semigroups
- On the parabolic kernel of the Schrödinger operator
- Upper bounds for symmetric Markov transition functions
- Conformally flat manifolds, Kleinian groups and scalar curvature
- A sharp inequality of J. Moser for higher order derivatives
- The Green function for uniformly elliptic equations
- Modified isoperimetric constants, and large time heat diffusion in Riemannian manifolds
- On the proof of the positive mass conjecture in general relativity
- On manifolds with non-negative Ricci curvature and Sobolev inequalities
- Variational problems with concentration
- Isoperimetry, decrease of the heat kernel and Riesz transformations: A counterexample
- Heat kernel upper bounds on a complete non-compact manifold
- Sharp bounds for the Green's function and the heat kernel
- On the structure of spaces with Ricci curvature bounded below. I
- The entropy formula for linar heat equation
- Riemannian metrics of constant mass and moduli spaces of conformal structures
- Green functions and conformal geometry.
- Large time behavior of the heat equation on complete manifolds with non- negative Ricci curvature
- The optimal Euclidean \(L^{p}\)-Sobolev logarithmic inequality.
- The Caffarelli-Kohn-Nirenberg inequalities on complete manifolds
- Conductor and capacitary inequalities for functions on topological spaces and their applications to Sobolev-type imbeddings
- Transplantation harmonique, transplantation par modules, et théoremes isoperimetriques
- Normal and integral currents
- Isoperimetric Constants, the Geometry of Ends, and Large Time Heat Diffusion in Riemannian Manifolds
- Continuity of Solutions of Parabolic and Elliptic Equations
- ON THE EXISTENCE OF POSITIVE FUNDAMENTAL SOLUTIONS OF THE LAPLACE EQUATION ON RIEMANNIAN MANIFOLDS
- Symmetric Green's Functions on Complete Manifolds
- Green’s function, harmonic transplantation, and best Sobolev constant in spaces of constant curvature
- Optimal heat kernel bounds under logarithmic Sobolev inequalities
- Sobolev inequalities in disguise
- Harmonic Radius and Concentration of Energy; Hyperbolic Radius and Liouville’s Equations $\Delta U = e^U $ and $\Delta U = U^{\tfrac{{n + 2}}{{n - 2}}} $
- Optimal Sobolev norms and the Lp Minkowski problem
