caa a22 4500 605496129 CHVBK 20210128100534.0 cr unu---uuuuu 210128e20151201xx s 000 0 eng 10.1007/s10231-014-0449-8 doi (NATIONALLICENCE)springer-10.1007/s10231-014-0449-8 Sobolev and isoperimetric inequalities for submanifolds in weighted ambient spaces [Elektronische Daten] [M. Batista, H. Mirandola] In this paper, we prove Sobolev and isoperimetric inequalities for submanifold in weighted manifold. Our results generalize the Hoffman-Spruck's inequalities (Hoffman and Spruck in Commun Pure Appl Math 27:715-727, 1974). Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 Weighted manifold nationallicence Sobolev inequality nationallicence Weighted mean curvature nationallicence Batista M. Instituto de Matemática, Universidade Federal de Alagoas, CEP 57072-970, Maceió, AL, Brazil aut Mirandola H. Instituto de Matemática, Universidade Federal do Rio de Janeiro, CEP 21945-970, Rio de Janeiro, RJ, Brazil aut Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/6(2015-12-01), 1859-1872 0373-3114 194:6<1859 2015 194 10231 https://doi.org/10.1007/s10231-014-0449-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10231-014-0449-8 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Batista M. Instituto de Matemática, Universidade Federal de Alagoas, CEP 57072-970, Maceió, AL, Brazil aut NATIONALLICENCE 700 1- Mirandola H. Instituto de Matemática, Universidade Federal do Rio de Janeiro, CEP 21945-970, Rio de Janeiro, RJ, Brazil aut NATIONALLICENCE 773 0- Annali di Matematica Pura ed Applicata (1923 -) Springer Berlin Heidelberg 194/6(2015-12-01), 1859-1872 0373-3114 194:6<1859 2015 194 10231