Neumann problem for the Beltrami operator and for second order operators with Poisson/Bitsadze operator as main part

Abstract

The Neumann boundary value problem is considered for the Beltrami operator with constant coefficient in the unit disc. As well the solvability condition as the solution in explicit forms are given. Moreover, second order operators with the Poisson/Bitsadze operator as main part as combinations of the Cauchy–Riemann and the Beltrami operators are studied.

Keywords:

• Beltrami
• Bitsadze
• Poisson operators
• Neumann boundary value problems
• first and second order complex partial differential equations with constant coefficients

AMS Subject Classifications::

• 30E25
• 31A30
• 35J05
• 35J15