Nodal domains and growth of harmonic functions on noncompact manifolds

Harold Donnelly, Charles Fefferman

Type: Article

Publication Date: 1992-01-01

Citations: 28

DOI: https://doi.org/10.1007/bf02921335

View Publication

Locations

Journal of Geometric Analysis - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Linear growth harmonic functions on complete manifolds	1995	Jiaping Wang
+	Harmonic functions of polynomial growth on complete manifolds	1993	Atsushi Kasue
+	Characterization and boundary behavior of harmonic functions in growth spaces	2013	Kjersti Solberg Eikrem
+	Positive harmonic functions in nonsmooth domains	2009	Hiroaki Aikawa
+	Harmonic maps on noncompact manifolds	2001	Lo Yang S.-T. Yau
+	Harmonic functions of polynomial growth on certain complete manifolds	1996	Tanya Christiansen Maciej Zworski
+	Harmonic Functions in Domains with Multiple Boundary Points	1939	John W. Green
+ PDF Chat	Positive harmonic functions on Denjoy domains in the complex plane	2008	В. В. Андриевскии
+	Bounded harmonic functions on nonamenable covers of compact manifolds	1988	Yuri Kifer
+	Holomorphic functions of polynomial growth on bounded domains	1970	Yum-Tong Siu
+	Holomorphic and Harmonic Functions on Bounded Symmetric Domains	2011	Adam Korányi
+	Positive harmonic functions on nontangentially accessible domains	1985	Rainer Wittmann
+ PDF Chat	Regularity of harmonic maps with prescribed singularities	1992	YanYan Li Gang Tian
+	Harmonic mappings into manifolds with boundary	1990	Yun Mei Chen Roberta Musina
+	Locally Minimizing Harmonic Maps from Noncompact Manifolds	2017	Weiyue Ding
+	Locally minimizing harmonic maps from noncompact manifolds	1994	Weiyue Ding
+	Boundary sets where harmonic functions may become infinite	2002	Stephen J. Gardiner Wolfhard Hansen
+	Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature	1995	Jeff Cheeger Tobias Colding William P. Minicozzi
+ PDF Chat	Boundary oscillations of harmonic functions in Lipschitz domains	2016	Pavel Mozolyako
+	Subharmonic functions in n-connected domains	1990	Ewa Wojcicka

Works That Cite This (28)

Action	Title	Year	Authors
+ PDF Chat	Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature	2013	Bobo Hua Jürgen Jost Shiping Liu
+ PDF Chat	Ricci curvature and convergence of Lipschitz functions	2011	Shouhei Honda
+ PDF Chat	Polynomial growth harmonic functions on finitely generated abelian groups	2013	Bobo Hua Jürgen Jost Xianqing Li‐Jost
+ PDF Chat	Generalized Liouville properties of manifolds	1996	Tobias Colding William P. Minicozzi
+	Optimal bounds for ancient caloric functions	2019	Tobias Colding William P. Minicozzi
+	Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature II	2014	Bobo Hua Jürgen Jost
+	Harmonic Functions on Manifolds	1997	Tobias Colding William P. Minicozzi
+	Aspects of Ricci Curvature	1997	Tobias Colding
+ PDF Chat	Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger Operator	2013	Blair Davey
+ PDF Chat	Avoided intersections of nodal lines	2003	Alejandro Monastra Uzy Smilansky Sven Gnutzmann∥

Works Cited by This (14)

Action	Title	Year	Authors
+	Parabolicity and the Liouville Property on Complete Riemannian Manifolds	1987	Jerry L. Kazdan
+ PDF Chat	Complete surfaces with finite total curvature	1991	Peter Li Luen-Fai Tam
+ PDF Chat	Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds	1982	Jeff Cheeger M. Gromov Michael E. Taylor
+	Harmonic functions on complete riemannian manifolds	1975	Shing‐Tung Yau
+ PDF Chat	Lp and mean value properties of subharmonic functions on Riemannian manifolds	1984	Peter Li Richard Schoen
+	Eigenfunctions and nodal sets	1976	Shiu‐Yuen Cheng
+	SOME PROBLEMS OF THE QUALITATIVE THEORY OF SECOND ORDER ELLIPTIC EQUATIONS (CASE OF SEVERAL INDEPENDENT VARIABLES)	1963	E. M. Landis
+	Linear Partial Differential Operators	1963	Lars Hörmander
+	Nodal sets of eigenfunctions on Reimannian manifolds	1988	Harold Donnelly Charles Fefferman
+	The Bochner Technique in Differential Geometry	2017	Hung-Hsi Wu