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Variational methods in mathematics, science and engineering. Transl. from the English. (Вариационные методы в математической физике и технике Transl. from the English.) (Russian) Zbl 0668.49001

Moskva: Mir. 589 p. R. 2.90 (1985).
For a review of the 2nd English edition see Zbl 0481.49002.

MSC:

49-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control
35-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to partial differential equations
47-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operator theory
49L99 Hamilton-Jacobi theories
49R05 Variational methods for eigenvalues of operators
47A70 (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces
35A15 Variational methods applied to PDEs
35A35 Theoretical approximation in context of PDEs
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
65N99 Numerical methods for partial differential equations, boundary value problems
35B45 A priori estimates in context of PDEs
35Dxx Generalized solutions to partial differential equations
47E05 General theory of ordinary differential operators
46N99 Miscellaneous applications of functional analysis
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
35J25 Boundary value problems for second-order elliptic equations
35K20 Initial-boundary value problems for second-order parabolic equations
47F05 General theory of partial differential operators
47B25 Linear symmetric and selfadjoint operators (unbounded)
35P05 General topics in linear spectral theory for PDEs
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