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

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Abstract

Suppose G is a bounded C2 domain in 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 languageEnglish
Pages (from-to)713-731
Number of pages19
JournalCommunications in Partial Differential Equations
Volume11
Issue number7
DOIs
Publication statusPublished - 1 Jan 1986
Externally publishedYes

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Boundary Regularity
Quasilinear Elliptic Equation
Modulus of Continuity
Non-uniformity
Mean Curvature
Boundary Value
Bounded Domain
Regularity
Curvature
Class

Cite this

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

In: Communications in Partial Differential Equations, Vol. 11, No. 7, 01.01.1986, p. 713-731.

Research output: Contribution to journalArticleResearchpeer-review

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