### 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 |
---|---|

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 |