THE DEGREE OF A QUASI-RULED MAPPING AND A NONLINEAR HILBERT PROBLEM
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Publication:5180111
DOI10.1070/SM1972v018n03ABEH001825zbMath0272.55016OpenAlexW2158821890MaRDI QIDQ5180111
Publication date: 1974
Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/sm1972v018n03abeh001825
General theory of conformal mappings (30C35) Degree, winding number (55M25) Boundary value problems in the complex plane (30E25) Singular nonlinear integral equations (45G05)
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A Hilbert boundary value problem for generalised Cauchy-Riemann equations ⋮ Geometrical properties of nonlinear maps and their application. I: The topological degree of quasiruled Fredholm maps on quasicylindrical domains ⋮ Geometrical properties of nonlinear maps and their application. II: Nonlinear Riemann--Hilbert problems with closed boundary data for multiply connected domains ⋮ Nonlinear Riemann–Hilbert problems for quasilinear -equations on the unit disc ⋮ Nonlinear Riemann-Hilbert problems for multiply connected domains ⋮ Nonorientability of the index bundle and several-parameter bifurcation ⋮ Spline approximation of a non-linear Riemann–Hilbert problem† ⋮ Nonlinear mixed Cherepanov boundary-value problem ⋮ The index bundle and bifurcation from infinity of solutions of nonlinear elliptic boundary value problems ⋮ Some remarks on the nonlinear mixed Cherepanov boundary value problem ⋮ On an Analogue of the Riemann-Hilbert Problem for a Non-linear Perturbation of the Cauchy-Riemann Operator ⋮ A Degree Theory for Lagrangian Boundary Value Problems ⋮ Beurling's boundary differential relations on multiply connected domains ⋮ A quasicylindrical domain of a quasilinear manifold and the degree of a quasilinear mapping
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