TY  - GEN
AU  - Honda, Shouhei 
TI  - Elliptic PDEs on compact Ricci limit spaces and applications
SN  - 9781470428549
U1  - 516.3​62 HON 
PY  - 2018///
CY  - Providence
PB  - American Mathematical Society
KW  - Differential Equations, Elliptic.
KW  - Differential Equations, Partial.
KW  - Geometry, Differential.
KW  - Spaces of Constant Curvature.
N2  - "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"--
ER  -