Isovolumetric and Isoperimetric Problems for a Class of Capillarity Functionals
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| 024 | 7 | 0 | |a 10.1007/s00205-015-0881-y |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0881-y | ||
| 100 | 1 | |a Caldiroli |D Paolo |u Dipartimento di Matematica, Università di Torino, via Carlo Alberto, 10 - 10123, Torino, Italy |4 aut | |
| 245 | 1 | 0 | |a Isovolumetric and Isoperimetric Problems for a Class of Capillarity Functionals |h [Elektronische Daten] |c [Paolo Caldiroli] |
| 520 | 3 | |a Capillarity functionals are parameter invariant functionals defined on classes of two-dimensional parametric surfaces in $${\mathbb{R}^{3}}$$ R 3 as the sum of the area integral and an anisotropic term of suitable form. In the class of parametric surfaces with the topological type of $${\mathbb{S}^{2}}$$ S 2 and with fixed volume, extremals of capillarity functionals are surfaces whose mean curvature is prescribed up to a constant. For a certain class of anisotropies vanishing at infinity, we prove the existence and nonexistence of volume-constrained, $${\mathbb{S}^{2}}$$ S 2 -type, minimal surfaces for the corresponding capillarity functionals. Moreover, in some cases, we show the existence of extremals for the full isoperimetric inequality. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/3(2015-12-01), 1331-1361 |x 0003-9527 |q 218:3<1331 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0881-y |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0881-y |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Caldiroli |D Paolo |u Dipartimento di Matematica, Università di Torino, via Carlo Alberto, 10 - 10123, Torino, Italy |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/3(2015-12-01), 1331-1361 |x 0003-9527 |q 218:3<1331 |1 2015 |2 218 |o 205 | ||