Matches in SemOpenAlex for { <https://semopenalex.org/work/W2091154643> ?p ?o ?g. }
Showing items 1 to 93 of
93
with 100 items per page.
- W2091154643 endingPage "90" @default.
- W2091154643 startingPage "77" @default.
- W2091154643 abstract "We study the spectrum of the Laplace operator of a complete minimal properly immersed hypersurface M in $${mathbb{R}^{n+1}}$$ . (1) Under a volume growth condition on extrinsic balls and a condition on the unit normal at infinity, we prove that M has only essential spectrum consisting of the half line [0, +∞). This is the case when $${{rm lim}_{tilde{r}to +infty},tilde{r}kappa_i=0}$$ , where $${tilde{r}}$$ is the extrinsic distance to a point of M and κ i are the principal curvatures. (2) If the κ i satisfy the decay conditions $${|kappa_i|leq 1/tilde{r}}$$ and strict inequality is achieved at some point $${yin M}$$ , then there are no eigenvalues. We apply these results to minimal graphic and multigraphic hypersurfaces." @default.
- W2091154643 created "2016-06-24" @default.
- W2091154643 creator A5006030760 @default.
- W2091154643 creator A5021086248 @default.
- W2091154643 date "2010-04-02" @default.
- W2091154643 modified "2023-10-16" @default.
- W2091154643 title "A spectral Bernstein theorem" @default.
- W2091154643 cites W1511719473 @default.
- W2091154643 cites W1969228344 @default.
- W2091154643 cites W1980342668 @default.
- W2091154643 cites W1983449886 @default.
- W2091154643 cites W2017355236 @default.
- W2091154643 cites W2018205772 @default.
- W2091154643 cites W2018609414 @default.
- W2091154643 cites W2020227293 @default.
- W2091154643 cites W2023064957 @default.
- W2091154643 cites W2025013419 @default.
- W2091154643 cites W2059139699 @default.
- W2091154643 cites W2060856594 @default.
- W2091154643 cites W2061950302 @default.
- W2091154643 cites W2090224342 @default.
- W2091154643 cites W2125507914 @default.
- W2091154643 cites W2504355181 @default.
- W2091154643 cites W4232829376 @default.
- W2091154643 cites W1654202956 @default.
- W2091154643 doi "https://doi.org/10.1007/s10231-010-0139-0" @default.
- W2091154643 hasPublicationYear "2010" @default.
- W2091154643 type Work @default.
- W2091154643 sameAs 2091154643 @default.
- W2091154643 citedByCount "0" @default.
- W2091154643 crossrefType "journal-article" @default.
- W2091154643 hasAuthorship W2091154643A5006030760 @default.
- W2091154643 hasAuthorship W2091154643A5021086248 @default.
- W2091154643 hasBestOaLocation W20911546432 @default.
- W2091154643 hasConcept C104317684 @default.
- W2091154643 hasConcept C114410712 @default.
- W2091154643 hasConcept C114614502 @default.
- W2091154643 hasConcept C121332964 @default.
- W2091154643 hasConcept C122637931 @default.
- W2091154643 hasConcept C134306372 @default.
- W2091154643 hasConcept C145420912 @default.
- W2091154643 hasConcept C156778621 @default.
- W2091154643 hasConcept C158448853 @default.
- W2091154643 hasConcept C158693339 @default.
- W2091154643 hasConcept C17020691 @default.
- W2091154643 hasConcept C185592680 @default.
- W2091154643 hasConcept C191948623 @default.
- W2091154643 hasConcept C33923547 @default.
- W2091154643 hasConcept C55493867 @default.
- W2091154643 hasConcept C62520636 @default.
- W2091154643 hasConcept C7321624 @default.
- W2091154643 hasConcept C86339819 @default.
- W2091154643 hasConceptScore W2091154643C104317684 @default.
- W2091154643 hasConceptScore W2091154643C114410712 @default.
- W2091154643 hasConceptScore W2091154643C114614502 @default.
- W2091154643 hasConceptScore W2091154643C121332964 @default.
- W2091154643 hasConceptScore W2091154643C122637931 @default.
- W2091154643 hasConceptScore W2091154643C134306372 @default.
- W2091154643 hasConceptScore W2091154643C145420912 @default.
- W2091154643 hasConceptScore W2091154643C156778621 @default.
- W2091154643 hasConceptScore W2091154643C158448853 @default.
- W2091154643 hasConceptScore W2091154643C158693339 @default.
- W2091154643 hasConceptScore W2091154643C17020691 @default.
- W2091154643 hasConceptScore W2091154643C185592680 @default.
- W2091154643 hasConceptScore W2091154643C191948623 @default.
- W2091154643 hasConceptScore W2091154643C33923547 @default.
- W2091154643 hasConceptScore W2091154643C55493867 @default.
- W2091154643 hasConceptScore W2091154643C62520636 @default.
- W2091154643 hasConceptScore W2091154643C7321624 @default.
- W2091154643 hasConceptScore W2091154643C86339819 @default.
- W2091154643 hasIssue "1" @default.
- W2091154643 hasLocation W20911546431 @default.
- W2091154643 hasLocation W20911546432 @default.
- W2091154643 hasLocation W20911546433 @default.
- W2091154643 hasOpenAccess W2091154643 @default.
- W2091154643 hasPrimaryLocation W20911546431 @default.
- W2091154643 hasRelatedWork W1137054959 @default.
- W2091154643 hasRelatedWork W2020197662 @default.
- W2091154643 hasRelatedWork W2069250569 @default.
- W2091154643 hasRelatedWork W2753322649 @default.
- W2091154643 hasRelatedWork W2949878595 @default.
- W2091154643 hasRelatedWork W2952798228 @default.
- W2091154643 hasRelatedWork W2980881351 @default.
- W2091154643 hasRelatedWork W3085325486 @default.
- W2091154643 hasRelatedWork W4302559171 @default.
- W2091154643 hasRelatedWork W4302810996 @default.
- W2091154643 hasVolume "190" @default.
- W2091154643 isParatext "false" @default.
- W2091154643 isRetracted "false" @default.
- W2091154643 magId "2091154643" @default.
- W2091154643 workType "article" @default.