Infinite boundary value problems for surfaces of prescribed mean curvature

Ermanna Tomaini

Rendiconti del Seminario Matematico della Università di Padova (1986)

  • Volume: 76, page 59-74
  • ISSN: 0041-8994

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Tomaini, Ermanna. "Infinite boundary value problems for surfaces of prescribed mean curvature." Rendiconti del Seminario Matematico della Università di Padova 76 (1986): 59-74. <http://eudml.org/doc/108049>.

@article{Tomaini1986,
author = {Tomaini, Ermanna},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {Dirichlet problem; surfaces of prescribed mean curvature; existence and uniqueness theorem},
language = {eng},
pages = {59-74},
publisher = {Seminario Matematico of the University of Padua},
title = {Infinite boundary value problems for surfaces of prescribed mean curvature},
url = {http://eudml.org/doc/108049},
volume = {76},
year = {1986},
}

TY - JOUR
AU - Tomaini, Ermanna
TI - Infinite boundary value problems for surfaces of prescribed mean curvature
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1986
PB - Seminario Matematico of the University of Padua
VL - 76
SP - 59
EP - 74
LA - eng
KW - Dirichlet problem; surfaces of prescribed mean curvature; existence and uniqueness theorem
UR - http://eudml.org/doc/108049
ER -

References

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  1. [1] U. Massari, Problema di Dirichlet per l'equazione delle superfici di curvatura media assegnata con dati infiniti, Ann. Univ. Ferrara, Sez. VII Sc. Mat., 23 (1977), pp. 111-141. Zbl0373.35022MR482507
  2. [2] U. Massari, Esistenza e regolarità delle ipersuperfici di curvatura media assegnata, Arch. Rational Mech. Anal., 55 (1974), pp. 357-382. Zbl0305.49047MR355766
  3. [3] E. Giusti, On the equation of surface of prescribed mean curvature, Inv. Math., 36 (1978), pp. 111-137. Zbl0381.35035MR487722
  4. [4] M. Emmer, Superfici di curvatura media assegnata con ostacolo, Ann. Mat. Pura Appl., 40, (1976), pp. 371-389. Zbl0336.53003MR514128
  5. [5] M. Miranda, Superfici minime illimitate, Ann. Sc. Norm. Sup. Pisa, (4) 4 (1977), pp. 313-322. Zbl0352.49020MR500423
  6. [6] E. Giusti, Boundary value problems for non-parametric surfaces of prescribed mean curvature, Ann. Sc. Norm. Sup. Pisa, (4) 3 (1976), pp. 501-548. Zbl0344.35036MR482506
  7. [7] M. Giaquinta, Regolarità delle superfici BV(Ω) con curvatura media assegnata, Boll. Un. Mat. It., 8 (1973), pp. 567-578. Zbl0274.35028
  8. [8] M. Miranda, Superfici cartesiane ed insiemi di perimetro finito sui prodotti cartesiani, Ann. Sc. Norm. Sup. Pisa, 48 (1964), pp. 515-542. Zbl0152.24402MR174706
  9. [9] H. Jenkins - J. Serrin, Variational problems of minimal surfaces type II: Boundary value problems for minimal surface equation, Arch. Rational Mech. Anal., 24 (1965-66), pp. 321-342. Zbl0171.08301MR190811
  10. [10] J. Spruck, Infinite boundary value problems for surfaces of constant mean curvature, 1 Arch. Rational Mech. Anal., 48 (1972), pp. 1-31. Zbl0263.53008MR334010

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