Proceedings of the Steklov Institute of Mathematics 1992; 256 pp; softcover Volume: 192 ISBN10: 0821831461 ISBN13: 9780821831465 List Price: US$208 Member Price: US$166.40 Order Code: STEKLO/192
 This commemorative volume honors the memory of S. L. Sobolev by presenting eighteen papers reflecting the area of Sobolev's main contributions: applications of functional analysis to differential equations. The papers examine various problems in the theory of partial differential equations (linear and nonlinear) and the theory of differentiable functions of several real variables. Applications to problems of mathematical physics and approximate methods of conformal mapping are also treated. Foreign (e.g., Leray, Lions, Fichera) as well as domestic (e.g., Besov, Oleĭnik, Il'in) authors are represented. Readership Researchers in differential equations familiar with applications of functional analysis. Table of Contents  In Memory of Sergeĭ L'vovich Sobolev
 N. S. Bakhvalov and M. Èglit  Variational properties of averaged equations for periodic media
 O. V. Besov  On SobolevLiouville and LizorkinTriebel spaces on a domain
 E. A. Volkov  Approximate conformal mapping of the exterior of a lattice of ellipses onto the exterior of a lattice of plates by the block method
 Yu. D. Golovatyĭ, S. A. Nazarov, and O. A. Oleĭnik  Asymptotic expansions of eigenvalues and eigenfunctions in problems on oscillations of a medium with concentrated perturbations
 Yu. V. Egorov and V. A. Kondrat'ev  On the negative spectrum of an elliptic operator
 V. P. Il'in  On imbedding theory for anisotropic classes of functions with power smoothness and a metric of \(L_p\)type
 L. D. Kudryavtsev  Variational problems with a different number of boundary conditions
 G. P. Kheĭnig and A. Kufner  Hardy's inequality for higher order derivatives
 Zh. Lerè  Le demiplan élastique et la théorie des distributions
 P. I. Lizorkin  Classes of functions constructed on the basis of averages over spheres (the case of spaces of Sobolev type)
 Zh. L. Lions  On nonlinear sentinels for distributed systems
 S. I. Pokhozhaev  On the method of fibering a solution in nonlinear boundary value problems
 S. G. Samko  Hypersingular integrals and differences of fractional order
 SanchesPalensiya  Some elasticity problems in unbounded domains and applications to junctions
 V. N. Temlyakov  On the behavior of the partial sums, over hyperbolic crosses, of Fourier series of periodic functions of several variables
 G. Tribel'  Characterizations of \(F^s_pq\) spaces via local means; the extension problem
 S. V. Uspenskiĭ and E. M. Vasil'eva  On the behavior at infinity of a solution of a problem in hydrodynamics
 G. Fikera  On the optimal constant for the trace inequality
