Dzhafarov R. The nonlinear Dirichlet problem in the domains with angle and conical points.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0400U001336

Applicant for

Specialization

  • 01.01.02 - Диференційні рівняння

10-05-2000

Specialized Academic Board

Д 11.193.01

Essay

In the thesis the theorems of the existence of solutions of the general nonlinear Dirichlet problem in the domain with the sufficiently small angle and Dirichlet problem for the quasilinear nondivergent equation of second order in the domain with the conical point. The a priori weighting estimate of the solution of Dirichlet problem for the quasilinear nondivergent equation of second order in the domain with the conical point and a sharp angles inequalities for pairs of el liptic operators in the case of domain with a conical point are obtained.

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