{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T11:28:42Z","timestamp":1648985322424},"reference-count":25,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2010,4,2]],"date-time":"2010-04-02T00:00:00Z","timestamp":1270166400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annali di Matematica"],"published-print":{"date-parts":[[2011,1]]},"DOI":"10.1007\/s10231-010-0139-0","type":"journal-article","created":{"date-parts":[[2010,4,1]],"date-time":"2010-04-01T10:28:18Z","timestamp":1270117698000},"page":"77-90","source":"Crossref","is-referenced-by-count":0,"title":["A spectral Bernstein theorem"],"prefix":"10.1007","volume":"190","author":[{"given":"Pedro","family":"Freitas","sequence":"first","affiliation":[]},{"given":"Isabel","family":"Salavessa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,4,2]]},"reference":[{"key":"139_CR1","unstructured":"Alencar, H., Walcy, S., Zhou, D.: Curvature integral estimates for complete hypersurfaces, axrXiv:0903. 2035"},{"key":"139_CR2","doi-asserted-by":"publisher","first-page":"277","DOI":"10.2307\/1970520","volume":"85","author":"F.J. Almgren Jr","year":"1966","unstructured":"Almgren F.J. Jr: Some interior regularity theorems for minimal surfaces and an extension of Bernstein theorem. Ann. Math. 85, 277\u2013292 (1966)","journal-title":"Ann. Math."},{"key":"139_CR3","unstructured":"Anderson, M.: The compactification of a minimal submanifold in Euclidean space by the Gauss map. I.H.E.S. preprint (1984)"},{"key":"139_CR4","doi-asserted-by":"publisher","first-page":"551","DOI":"10.1007\/BF01475472","volume":"26","author":"S.N. Bernstein","year":"1927","unstructured":"Bernstein S.N.: Uber ein Geometrisches Theorem und seine Awendung auf die Partialle Differentialgleichungen von Elliptishen Typus. Math. Z. 26, 551\u2013558 (1927)","journal-title":"Math. Z."},{"key":"139_CR5","doi-asserted-by":"crossref","unstructured":"Bessa, G.P., Jorge, L.P., Montenegro, J.F.: On the spectrum of the Martin-Morales minimal surfaces. J. Geom. Anal., published online in 7 August 2009","DOI":"10.1007\/s12220-009-9101-z"},{"key":"139_CR6","doi-asserted-by":"publisher","first-page":"243","DOI":"10.1007\/BF01404309","volume":"7","author":"E. Bombieri","year":"1969","unstructured":"Bombieri E., de Giorgi E., Giusti E.: Minimal cones and the Bernstein problem. Invent. Math. 7, 243\u2013268 (1969)","journal-title":"Invent. Math."},{"key":"139_CR7","doi-asserted-by":"crossref","unstructured":"Borgwardt, K.H.: The simplex method. Springer (1987)","DOI":"10.1007\/978-3-642-61578-8"},{"key":"139_CR8","doi-asserted-by":"publisher","first-page":"501","DOI":"10.1007\/BF01174771","volume":"178","author":"R. Brooks","year":"1981","unstructured":"Brooks R.: A relation between growth and the spectrum of the Laplacian. Math. Z. 178, 501\u2013507 (1981)","journal-title":"Math. Z."},{"issue":"2","key":"139_CR9","doi-asserted-by":"publisher","first-page":"774","DOI":"10.1063\/1.1635998","volume":"45","author":"G. Carron","year":"2004","unstructured":"Carron G., Exner P., Krej\u010di\u0159\u00edk D.: Topologically nontrivial quantum layers. J. Math. Phys. 45(2), 774\u2013784 (2004)","journal-title":"J. Math. Phys."},{"key":"139_CR10","first-page":"657","volume":"2","author":"Q. Chen","year":"1995","unstructured":"Chen Q.: On the volume growth and the topology of complete minimal submanifolds of a Euclidean space. J. Math. Sci. Univ. Tokyo 2, 657\u2013669 (1995)","journal-title":"J. Math. Sci. Univ. Tokyo"},{"key":"139_CR11","first-page":"39","volume-title":"The essential spectrum on complete noncompact Riemannian manifolds with asymptotically nonnegative radial Ricci curvature:differential geometry and related topics","author":"Z. Chen","year":"2002","unstructured":"Chen Z., Zhuo C.: The essential spectrum on complete noncompact Riemannian manifolds with asymptotically nonnegative radial Ricci curvature:differential geometry and related topics, pp. 39\u201347. World Science Publisher, River Edge (2002)"},{"key":"139_CR12","doi-asserted-by":"publisher","first-page":"289","DOI":"10.1007\/BF01214381","volume":"143","author":"S.Y. Cheng","year":"1975","unstructured":"Cheng S.Y.: Eigenvalue comparison theorems and its geometric applications. Math. Z. 143, 289\u2013297 (1975)","journal-title":"Math. Z."},{"key":"139_CR13","first-page":"79","volume":"19","author":"E. De Giorgi","year":"1965","unstructured":"De Giorgi E.: Una extensione del theorema di Bernstein. Ann. Scuola Norm. Sup. Pisa 19, 79\u201385 (1965)","journal-title":"Ann. Scuola Norm. Sup. Pisa"},{"key":"139_CR14","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1307\/mmj\/1029002457","volume":"28","author":"H. Donnelly","year":"1981","unstructured":"Donnelly H.: Eigenvalues embedded in the continuum for negatively curved manifolds. Mich. Math. J. 28, 53\u201362 (1981)","journal-title":"Mich. Math. J."},{"issue":"1","key":"139_CR15","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1016\/0040-9383(81)90012-4","volume":"20","author":"H. Donnelly","year":"1981","unstructured":"Donnelly H.: On the essential spectrum of a complete Riemannian manifold. Topology 20(1), 1\u201314 (1981)","journal-title":"Topology"},{"issue":"3","key":"139_CR16","doi-asserted-by":"publisher","first-page":"497","DOI":"10.1215\/S0012-7094-79-04624-6","volume":"46","author":"H. Donnelly","year":"1979","unstructured":"Donnelly H., Li P.: Pure point spectrum and negative curvature for noncompact manifolds. Duke Math. J. 46(3), 497\u2013503 (1979)","journal-title":"Duke Math. J."},{"key":"139_CR17","doi-asserted-by":"crossref","unstructured":"Escobar, J.F., Freire, A.: The spectrum of the Laplacian of manifolds of positive curvature. Duke Math. J. 65 (1992)","DOI":"10.1215\/S0012-7094-92-06501-X"},{"key":"139_CR18","doi-asserted-by":"publisher","first-page":"69","DOI":"10.1007\/BF02849427","volume":"11","author":"W.H. Fleming","year":"1962","unstructured":"Fleming W.H.: On the oriented Plateau problem. Rend. Circ. Mat. Palermo 11, 69\u201389 (1962)","journal-title":"Rend. Circ. Mat. Palermo"},{"issue":"2","key":"139_CR19","doi-asserted-by":"publisher","first-page":"213","DOI":"10.2969\/jmsj\/04620213","volume":"46","author":"J. Li","year":"1994","unstructured":"Li J.: Spectrum of the Laplacian on a complete Riemannian manifold with nonnegative Ricci curvature which possess a pole. J. Math. Soc. Jpn. 46(2), 213\u2013216 (1994)","journal-title":"J. Math. Soc. Jpn."},{"key":"139_CR20","first-page":"91","volume":"38","author":"M. Miranda","year":"1967","unstructured":"Miranda M.: Una maggiorazione integrale per le curvature delle ipersuperfici minimal. Rend. Seminario mat. Univ. di Padova 38, 91\u2013107 (1967)","journal-title":"Rend. Seminario mat. Univ. di Padova"},{"key":"139_CR21","doi-asserted-by":"publisher","first-page":"577","DOI":"10.1002\/cpa.3160140329","volume":"XIV","author":"J. Moser","year":"1961","unstructured":"Moser J.: On the Harnack\u2019s theorem for elliptic differential equation. Comm. Pure App. Math. XIV, 577\u2013591 (1961)","journal-title":"Comm. Pure App. Math."},{"key":"139_CR22","unstructured":"Simon, L.: Lectures on geometric measure theory. In: Proceedings of the Centre for Mathematical Analysis, Australian National University, vol. 3 (1983)"},{"key":"139_CR23","doi-asserted-by":"publisher","first-page":"62","DOI":"10.2307\/1970556","volume":"88","author":"J. Simons","year":"1968","unstructured":"Simons J.: Minimal varieties in Riemannian manifolds. Ann. Math. 88, 62\u2013105 (1968)","journal-title":"Ann. Math."},{"issue":"3","key":"139_CR24","doi-asserted-by":"publisher","first-page":"443","DOI":"10.1007\/BF01389174","volume":"90","author":"B. Smyth","year":"1987","unstructured":"Smyth B., Xavier F.: Efimov\u2019s theorem in dimension greater than two. Invent. Math. 90(3), 443\u2013450 (1987)","journal-title":"Invent. Math."},{"key":"139_CR25","doi-asserted-by":"publisher","first-page":"659","DOI":"10.1512\/iumj.1976.25.25051","volume":"25","author":"S.T. Yau","year":"1976","unstructured":"Yau S.T.: Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry. Indiana Math. J. 25, 659\u2013670 (1976)","journal-title":"Indiana Math. J."}],"container-title":["Annali di Matematica Pura ed Applicata"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10231-010-0139-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10231-010-0139-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10231-010-0139-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10231-010-0139-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,10]],"date-time":"2020-01-10T11:55:04Z","timestamp":1578657304000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10231-010-0139-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,4,2]]},"references-count":25,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,1]]}},"alternative-id":["139"],"URL":"https:\/\/doi.org\/10.1007\/s10231-010-0139-0","relation":{},"ISSN":["0373-3114","1618-1891"],"issn-type":[{"value":"0373-3114","type":"print"},{"value":"1618-1891","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,4,2]]}}}