caa a22 4500 469117214 CHVBK 20180323133128.0 cr unu---uuuuu 170328e19920101xx s 000 0 eng 10.1007/BF02921335 doi (NATIONALLICENCE)springer-10.1007/BF02921335 Nodal domains and growth of harmonic functions on noncompact manifolds [Elektronische Daten] [Harold Donnelly, Charles Fefferman] Harmonic functions are studied on complete Riemannian manifolds. A decay estimate is given for bounded harmonic functions of variable sign. For unbounded harmonic functions of variable sign, relations are derived between growth properties and nodal domains. On Riemannian manifolds of nonnegative Ricci curvature, it has been conjectured that harmonic functions, having at most a given order of polynomial growth, must form a finite dimensional vector space. This conjecture is established in certain special cases. Mathematica Josephina, Inc., 1992 Harmonic functions nationallicence nodal domains nationallicence nonnegative Ricci curvature nationallicence polynomial growth nationallicence Riemannian manifolds nationallicence Donnelly Harold Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA aut Fefferman Charles Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA aut The Journal of Geometric Analysis Springer-Verlag 2/1(1992-01-01), 79-93 1050-6926 2:1<79 1992 2 12220 https://doi.org/10.1007/BF02921335 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02921335 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Donnelly Harold Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 700 1- Fefferman Charles Department of Mathematics, Purdue University, 47907, West Lafayette, IN, USA aut NATIONALLICENCE 773 0- The Journal of Geometric Analysis Springer-Verlag 2/1(1992-01-01), 79-93 1050-6926 2:1<79 1992 2 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer