Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems

Christoph Hamburger

Bollettino dell'Unione Matematica Italiana (2007)

  • Volume: 10-B, Issue: 1, page 63-81
  • ISSN: 0392-4041

Abstract

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We prove global partial regularity of weaksolutions of the Dirichlet problem for the nonlinear superelliptic system div ⁡ A ⁢ ( x , u , D ⁢ u ) + B ⁢ ( x , u , D ⁢ U ) = 0 , under natural polynomial growth of the coefficient functions A and B . We employ the indirect method of the bilinear form and do not use a Caccioppoli or a reverse Hölder inequality.

How to cite

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Hamburger, Christoph. "Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems." Bollettino dell'Unione Matematica Italiana 10-B.1 (2007): 63-81. <http://eudml.org/doc/290410>.

@article{Hamburger2007,
abstract = {We prove global partial regularity of weaksolutions of the Dirichlet problem for the nonlinear superelliptic system $\operatorname\{div\} A(x,u,Du)+B(x, u, DU) = 0$, under natural polynomial growth of the coefficient functions $A$ and $B$. We employ the indirect method of the bilinear form and do not use a Caccioppoli or a reverse Hölder inequality.},
author = {Hamburger, Christoph},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {2},
number = {1},
pages = {63-81},
publisher = {Unione Matematica Italiana},
title = {Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems},
url = {http://eudml.org/doc/290410},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Hamburger, Christoph
TI - Partial Boundary Regularity of Solutions of Nonlinear Superelliptic Systems
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/2//
PB - Unione Matematica Italiana
VL - 10-B
IS - 1
SP - 63
EP - 81
AB - We prove global partial regularity of weaksolutions of the Dirichlet problem for the nonlinear superelliptic system $\operatorname{div} A(x,u,Du)+B(x, u, DU) = 0$, under natural polynomial growth of the coefficient functions $A$ and $B$. We employ the indirect method of the bilinear form and do not use a Caccioppoli or a reverse Hölder inequality.
LA - eng
UR - http://eudml.org/doc/290410
ER -

References

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