Hölder regularity for solutions of mixed boundary value problems containing boundary terms

Maurizio Chicco; Marina Venturino

Bollettino dell'Unione Matematica Italiana (2006)

  • Volume: 9-B, Issue: 2, page 267-281
  • ISSN: 0392-4041

Abstract

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We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.

How to cite

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Chicco, Maurizio, and Venturino, Marina. "Hölder regularity for solutions of mixed boundary value problems containing boundary terms." Bollettino dell'Unione Matematica Italiana 9-B.2 (2006): 267-281. <http://eudml.org/doc/289604>.

@article{Chicco2006,
abstract = {We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.},
author = {Chicco, Maurizio, Venturino, Marina},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {6},
number = {2},
pages = {267-281},
publisher = {Unione Matematica Italiana},
title = {Hölder regularity for solutions of mixed boundary value problems containing boundary terms},
url = {http://eudml.org/doc/289604},
volume = {9-B},
year = {2006},
}

TY - JOUR
AU - Chicco, Maurizio
AU - Venturino, Marina
TI - Hölder regularity for solutions of mixed boundary value problems containing boundary terms
JO - Bollettino dell'Unione Matematica Italiana
DA - 2006/6//
PB - Unione Matematica Italiana
VL - 9-B
IS - 2
SP - 267
EP - 281
AB - We prove Holder regularity for solutions of mixed boundary value problems for a class of divergence form elliptic equations with discontinuous and unbounded coefficients, in the presence of boundary integrals.
LA - eng
UR - http://eudml.org/doc/289604
ER -

References

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  2. CHICCO, M., Condizioni sufficienti per l'hölderianita alla frontiera delle soluzioni di equazioni ellittiche di tipo variazionale, Boll. Un. Mat. Ital. (5), 15 A (1978), 571-580. Zbl0398.35024
  3. CHICCO, M. - VENTURINO, M., A priori inequalities in L ∞ ⁢ ( Ω ) for solutions of elliptic equations in unbounded domains, Rend. Sem. Mat. Univ. Padova, 102 (1999), 141-151. Zbl0949.35044
  4. CHICCO, M. - VENTURINO, M., Dirichlet problem for a divergence form elliptic equation with unbounded coefficients in an unbounded domain, Ann. Mat. Pura Appl. (4), 178 (2000), 325-338. Zbl1031.35044
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