Elliptic PDEs on compact Ricci limit spaces and applications
Honda, Shouhei
Elliptic PDEs on compact Ricci limit spaces and applications - Providence: American Mathematical Society, 2018 - v; 92p. pb; 26 cm - Memoirs of the American Mathematical Society; ISSN: 0065-9266; Vol. 253, No.1211 .
"In this paper we study elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular we establish continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. We apply these to the study of second-order differential calculus on such limit spaces"--
9781470428549
Differential Equations, Elliptic.
Differential Equations, Partial.
Geometry, Differential.
Spaces of Constant Curvature.
516.362 HON
Elliptic PDEs on compact Ricci limit spaces and applications - Providence: American Mathematical Society, 2018 - v; 92p. pb; 26 cm - Memoirs of the American Mathematical Society; ISSN: 0065-9266; Vol. 253, No.1211 .
"In this paper we study elliptic PDEs on compact Gromov-Hausdorff limit spaces of Riemannian manifolds with lower Ricci curvature bounds. In particular we establish continuities of geometric quantities, which include solutions of Poisson's equations, eigenvalues of Schrödinger operators, generalized Yamabe constants and eigenvalues of the Hodge Laplacian, with respect to the Gromov-Hausdorff topology. We apply these to the study of second-order differential calculus on such limit spaces"--
9781470428549
Differential Equations, Elliptic.
Differential Equations, Partial.
Geometry, Differential.
Spaces of Constant Curvature.
516.362 HON
