On a method of constructing the solutions of boundary-value problems of the theory of bendings of surfaces of positive curvature

DOI10.1007/BF01106477zbMath0716.35020MaRDI QIDQ752999

S. B. Klimentov

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

boundary conditionsconstant curvaturelinearintegro-differential equationquasilinearisometriescomplex partial differential equationsCauchy-type integralRiemann-Hilbert typeuniformly elliptic2- dimensional surfacescomplex deformation function

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Global submanifolds (53C40) Boundary value problems for nonlinear first-order PDEs (35F30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20) Boundary value problems for linear first-order PDEs (35F15)

Related Items (3)

On isomorphism of some functional spaces under action of integro-differential operators ⋮ Representations of the ``second kind for the Hardy classes of solutions to the Beltrami equation ⋮ A priori estimates of the positive real or imaginary part of a generalized analytic function

Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
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