Generalized Holmgren Problem for an Elliptic Equation with Several Singular Coefficients

Author:

Ergashev T. G.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference28 articles.

1. Smirnov, M.M., Vyrozhdayushchiesya ellipticheskie i giperbolicheskie uravneniya (Degenerating Elliptic and Hyperbolic Equations), Moscow: Nauka, 1966.

2. Hasanov, A., Fundamental solutions of bi-axially symmetric Helmholtz equation, Complex Var. Elliptic Equat., 2007, vol. 52, no. 8, pp. 673–683.

3. Salakhitdinov, M.S. and Khasanov, A., Tricomi problem for a mixed type equation with a nonsmooth degeneration line, Differ. Uravn., 1983, vol. 19, no. 1, pp. 110–119.

4. Amanov, D., Some boundary value problems for a degenerating elliptic equation in an unbounded domain, Izv. Akad. Nauk UzSSR. Ser. Fiz.-Mat. Nauk, 1984, no. 1, pp. 8–13.

5. Amanov, D., Boundary value problem for equation $$\mathrm{sgn}\, y|y|^m u_{xx}+x^nu_{yy}=0 $$ in an unbounded domain, Izv. Akad. Nauk UzSSR. Ser. Fiz.-Mat. Nauk, 1984, no. 2, pp. 8–10.

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