Two Dimensional Interface Problems for Elliptic Equations

Two Dimensional Interface Problems for Elliptic Equations

Year:    2003

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 1 : pp. 37–48

Abstract

We study the structure of solutions to the interface problems for second order quasi-linear elliptic partial differential equations in two dimensional space. We prove that each weak solution can be decomposed into two parts near singular points, a finite sum of functions in the form of cr^α log^m rφ(θ) and a regular one w. The coefficients c and the C^{1,α} norm of w depend on the H¹-norm and the C^{º, α}-norm of the solution, and the equation only.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2003-JPDE-5404

Journal of Partial Differential Equations, Vol. 16 (2003), Iss. 1 : pp. 37–48

Published online:    2003-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Quasilinear elliptic equations