On first and second order planar elliptic equations with degeneracies
Abdelhamid Meziani
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
Рік:
2012
Видавництво:
American Mathematical Society
Мова:
english
Сторінки:
90
ISBN 10:
0821853120
ISBN 13:
9780821853122
Серії:
Memoirs of the American Mathematical Society 1019
Файл:
PDF, 645 KB
IPFS:
,
english, 2012