On first and second order planar elliptic equations with degeneracies Article

Meziani, A. (2012). On first and second order planar elliptic equations with degeneracies . MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 217(1019), 1-90. 10.1090/S0065-9266-2011-00634-9

cited authors

  • Meziani, A

authors

abstract

  • 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. © 2011 American Mathematical Society.

publication date

  • May 1, 2012

published in

Digital Object Identifier (DOI)

start page

  • 1

end page

  • 90

volume

  • 217

issue

  • 1019