【摘 要】
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We study the structure of solutions to the interface problems for second order quasi-linear elliptic partial differential equations in two dimensional space. We
【机 构】
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Key Laboratory of Pure and Applied Mathematics School of Mathematical Sciences Peking University Bei
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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 crα logm rψ(θ) and a regular one w. The coefficients c and the C1,α norm of w depend on the H1-norm and the C0,α-norm of the solution, and the equation only.
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