On first and second order planar elliptic equations with degeneracies
Author(s)
Bibliographic Information
On first and second order planar elliptic equations with degeneracies
（Memoirs of the American Mathematical Society, no. 1019）
American Mathematical Society, 2012, c2011
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Note
"May 2012, volume 217, number 1019 (first of 4 numbers)"--T.p
Includes bibliography (p. 77)
Description and Table of Contents
Description
This paper deals with elliptic equations in the plane with degeneracies. The equations are generated by a complex vector field that is elliptic everywhere except along a simple closed curve. Kernels for these equations are constructed. Properties of solutions, in a neighborhood of the degeneracy curve, are obtained through integral and series representations. An application to a second order elliptic equation with a punctual singularity is given.
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