@Article{JPDE-16-37, author = {Lung-an Ying}, title = {Two Dimensional Interface Problems for Elliptic Equations}, journal = {Journal of Partial Differential Equations}, year = {2003}, volume = {16}, number = {1}, pages = {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.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5404.html} }