The behavior of bounded solutions to the equation \(\Delta u-c(x)=0\) on Riemannian manifolds of special type

DOI10.1007/BF02679814zbMath0981.58017OpenAlexW2080285050WikidataQ115391882 ScholiaQ115391882MaRDI QIDQ1966190

Yanyan Li

Publication date: 7 March 2002

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02679814

zbMATH Keywords

Riemannian manifoldLaplace operatorLiouville theoremsectional curvaturestandard elliptic estimate

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Classification theory of Riemannian manifolds. Harmonic, quasiharmonic and biharmonic functions
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