### Abstract

Suppose G is a bounded C^{2} domain in _{ℝ}^{n}, n ≥2. We examine the regularity at the boundary of solutions to a class of quasi-linear elliptic equations having continuous boundary values φ. If φhas a modulus of continuity ß, we give a modulus of continuity for the solution which depends on ßand the generalized mean curvature of ∂G. When the order of non-uniformity of the equation is between 0 and 1, no curvature condition on ∂G is needed.

Original language | English |
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Pages (from-to) | 713-731 |

Number of pages | 19 |

Journal | Communications in Partial Differential Equations |

Volume | 11 |

Issue number | 7 |

DOIs | |

Publication status | Published - 1 Jan 1986 |

Externally published | Yes |

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**Boundary regularity for quasi-linear elliptic equations with continuous boundary data.** / Lau, Chi ping.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - Boundary regularity for quasi-linear elliptic equations with continuous boundary data

AU - Lau, Chi ping

PY - 1986/1/1

Y1 - 1986/1/1

N2 - Suppose G is a bounded C2 domain in ℝn, n ≥2. We examine the regularity at the boundary of solutions to a class of quasi-linear elliptic equations having continuous boundary values φ. If φhas a modulus of continuity ß, we give a modulus of continuity for the solution which depends on ßand the generalized mean curvature of ∂G. When the order of non-uniformity of the equation is between 0 and 1, no curvature condition on ∂G is needed.

AB - Suppose G is a bounded C2 domain in ℝn, n ≥2. We examine the regularity at the boundary of solutions to a class of quasi-linear elliptic equations having continuous boundary values φ. If φhas a modulus of continuity ß, we give a modulus of continuity for the solution which depends on ßand the generalized mean curvature of ∂G. When the order of non-uniformity of the equation is between 0 and 1, no curvature condition on ∂G is needed.

UR - http://www.scopus.com/inward/record.url?scp=84949607449&partnerID=8YFLogxK

U2 - 10.1080/03605308608820442

DO - 10.1080/03605308608820442

M3 - Article

VL - 11

SP - 713

EP - 731

JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

SN - 0360-5302

IS - 7

ER -