On the Riemann‐Hilbert boundary value problem for generalized analytic functions in the framework of variable exponent spaces
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DOI: 10.1002/mma.4528
Abstract: Let Γ be a simple closed curve that bounds the finite domain D, z=z(ζ)=z(reiϑ) be the conformal mapping of the circle {ζ:|ζ|2andsup0 read more here.
Keywords: riemann hilbert; hilbert boundary; class; value problem ... 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
On compound Riemann Hilbert boundary value problem in the framework of variable exponent spaces
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DOI: 10.1016/j.jmaa.2020.124795
Abstract: Abstract The aim of this paper is to study the compound Riemann Hilbert boundary value problem in the class of Cauchy-type integral with density in variable exponent Lebesgue spaces. The method is transforming the Riemann… read more here.
Keywords: riemann hilbert; value problem; boundary value; hilbert boundary ... See more keywords
Homogeneous Hilbert boundary-value problem with several points of turbulence
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DOI: 10.1134/s199508021703009x
Abstract: We consider Riemann–Hilbert boundary value problem with infinite index in unit disk. Its coefficient is Hölder-continuous everywhere on the unit circle excluding a finite set of points, where its argument has power discontinuities of order… read more here.
Keywords: value problem; boundary value; hilbert boundary; homogeneous hilbert ... See more keywords