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