Dirichlet-Type Problems for Certain Beltrami Equations
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DOI: 10.1007/s00009-021-01760-2
Abstract: In this paper, we shall be interested in solving Dirichlet-type problems for solutions of certain classes of Beltrami equations, to be called $$\beta -$$ analytic. Orthogonal decomposition of the corresponding Sobolev space as well as… read more here.
Keywords: problems certain; dirichlet type; certain beltrami; type problems ... See more keywords
On the Hilbert boundary-value problem for Beltrami equations with singularities
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DOI: 10.1007/s10958-021-05309-2
Abstract: We investigate the Hilbert boundary-value problem for Beltrami equations $$ \overline{\partial}f $$ = μ∂f with singularities in generalized quasidisks D whose Jordan boundary ∂D consists of a countable collection of open quasiconformal arcs and, maybe,… read more here.
Keywords: boundary value; beltrami equations; problem; hilbert boundary ... See more keywords
Riemann–Hilbert problems with Carleman shift and conjugation for polynomial Beltrami equations
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DOI: 10.1080/17476933.2019.1689564
Abstract: ABSTRACT In this paper, we study Riemann–Hilbert problems with Carleman shift and conjugation on the Lyapunov curve for null solutions of some certain polynomial Beltrami equations. Firstly, by constructing and verifying an explicit weakly singular… read more here.
Keywords: riemann hilbert; carleman shift; hilbert problems; beltrami equations ... See more keywords