Lagrange multipliers and geometric measure theory

Mario Miranda; Stephen Roberts

Rendiconti del Seminario Matematico della Università di Padova (1985)

  • Volume: 74, page 219-224
  • ISSN: 0041-8994

How to cite

top

Miranda, Mario, and Roberts, Stephen. "Lagrange multipliers and geometric measure theory." Rendiconti del Seminario Matematico della Università di Padova 74 (1985): 219-224. <http://eudml.org/doc/108004>.

@article{Miranda1985,
author = {Miranda, Mario, Roberts, Stephen},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {variational problems with a volume constraint; extension; Lagrange multiplier rule},
language = {eng},
pages = {219-224},
publisher = {Seminario Matematico of the University of Padua},
title = {Lagrange multipliers and geometric measure theory},
url = {http://eudml.org/doc/108004},
volume = {74},
year = {1985},
}

TY - JOUR
AU - Miranda, Mario
AU - Roberts, Stephen
TI - Lagrange multipliers and geometric measure theory
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1985
PB - Seminario Matematico of the University of Padua
VL - 74
SP - 219
EP - 224
LA - eng
KW - variational problems with a volume constraint; extension; Lagrange multiplier rule
UR - http://eudml.org/doc/108004
ER -

References

top
  1. E. De Giorgi, Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari, Mem. Accad. Sci. Torino, Cl. Sci. Fis. Mat. Nat., 3, (1957), pp. 25-43. Zbl0084.31901MR93649
  2. J. Nash, Continuity of the solutions of parabolic and elliptic equations, Amer. J. Math.,80 (1958), pp. 931-954. Zbl0096.06902MR100158
  3. F. Browder, Mathematical developments arising from Hilbert problems, Proc. Symp. Pure Math., 28 (1976), A.M.S. Zbl0326.00002MR419125
  4. A. Haar, Über das Plateausche Problem, Math. Ann., 97 (1927), pp. 127-158. Zbl52.0710.02MR1512358JFM52.0710.02
  5. E. De Giorgi, Frontiere orientate di misura minima, Sem. Scuola Normale Superiore, Pisa, 1960. Zbl0296.49031MR179651
  6. E.R. Reifenberg, Solution of the Plateau problem for r-dimensional surfaces of varying topological type, Acta Math., 104 (1960), pp. 1-92. Zbl0099.08503MR114145
  7. F.J. AlmgrenJr., Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure, Ann. of Math., 87 (1968), pp. 321-391. Zbl0162.24703MR225243
  8. H. Federer, The singular sets of area minimizing etc., Bull. A.M.S. (1970), pp. 767-771. Zbl0194.35803MR260981
  9. U. Massari, Esistenza e regolarità delle ipersuperficie di curvatura media assegnata in Rn, Arch. Rat. Mech. Anal., 55 (1974), pp. 357-382. Zbl0305.49047MR355766
  10. M. Emmer, Esistenza unicità e regolarità delle superficie di equilibrio nei capillari, Ann. Univ. Ferrara Sez.VII, 18 (1973), pp. 79-94. Zbl0275.49005MR336507
  11. I., TamaniniIl problema della capillarità su domini non regolari, Rend. Sem. Univ. Padova, 56 (1977), pp. 169-191. Zbl0406.76031MR483992
  12. E. Gonzalez, Sul problema della goccia appoggiata, Rend. Sem. Mat. Padcva, 55 (1976), pp. 289-302. Zbl0361.49027MR493670
  13. E. Gonzalez - U. Massari - I. Tamanini, Existence and regularity for the problem of a pendant liquid drop, Pacific J. of Math., 88 (1980), pp. 399-420. Zbl0415.49028MR607987
  14. S. Albano - E. GONZALEZ, Rotating drops, Indiana Univ. Math. J., 32 (1983), pp. 687-702. Zbl0568.76099MR711861
  15. G. Congedo - E. Gonzalez, Sul problema di Plateau con volume fissato, Quad. Univ. Lecce, 15 (1981). 
  16. P.E. Gill - W. Murray - M.H. Wright, Practical Optimization, Academic Press, 1981. Zbl0503.90062MR634376

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.