Positive solutions to Schrödinger equations and geometric applications
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Publication:2030085
DOI10.1515/crelle-2020-0046zbMath1465.35017arXiv2007.07191OpenAlexW3113732004MaRDI QIDQ2030085
Felix Schulze, Jiaping Wang, Ovidiu Munteanu
Publication date: 4 June 2021
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.07191
Elliptic equations on manifolds, general theory (58J05) Schrödinger operator, Schrödinger equation (35J10) Positive solutions to PDEs (35B09) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Ricci flows (53E20)
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Cites Work
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- On type-I singularities in Ricci flow
- On complete gradient shrinking Ricci solitons
- The conjugate heat equation and ancient solutions of the Ricci flow
- A compactness theorem for complete Ricci shrinkers
- Construction of complete embedded self-similar surfaces under mean curvature flow. III
- Flow by mean curvature of convex surfaces into spheres
- Uniformly elliptic operators on Riemannian manifolds
- Strong uniqueness of the Ricci flow
- Convergence of the Ricci flow toward a soliton
- Diameter control under Ricci flow
- Complete gradient shrinking Ricci solitons have finite topological type
- Relating diameter and mean curvature for submanifolds of Euclidean space
- On a classification of gradient shrinking solitons
- Conformally flat manifolds, Kleinian groups and scalar curvature
- Harmonic functions and the structure of complete manifolds
- Harmonic functions on manifolds
- \(L^2\)-cohomology and Sobolev inequalities
- Harmonic sections of polynomial growth
- The structure of stable minimal hypersurfaces in \(\mathbb{R}^{n+1}\)
- Harmonic functions with polynomial growth
- Complete manifolds with positive spectrum
- Mean curvature self-shrinkers of high genus: non-compact examples
- Sobolev spaces on Riemannian manifolds
- Gap theorems for minimal submanifolds in \(\mathbb{R}^{n+1}\)
- Compactness of self-shrinkers in \(\mathbb{R}^3\) with fixed genus
- Heat kernel on Ricci shrinkers
- Topology of Kähler Ricci solitons
- On the first variation of a varifold
- Vanishing theorems on Riemannian manifolds, and geometric applications
- Geometry of shrinking Ricci solitons
- Uniqueness of self-similar shrinkers with asymptotically conical ends
- Weighted Poincaré inequality and rigidity of complete manifolds
- Noncompact shrinking four solitons with nonnegative curvature
- Sobolev and isoperimetric inequalities for riemannian submanifolds
- Differential equations on riemannian manifolds and their geometric applications
- Structure at infinity for shrinking Ricci solitons
- Sobolev and mean‐value inequalities on generalized submanifolds of Rn
- Geometric Analysis
