Around the Research of Vladimir Maz'ya II

Partial Differential Equations

  • Ari Laptev

Part of the International Mathematical Series book series (IMAT, volume 12)

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Gerassimos Barbatis, Victor I. Burenkov, Pier Domenico Lamberti
    Pages 23-60
  3. András Domokos, Juan J. Manfredi
    Pages 145-157
  4. Yuri V. Egorov, Nicolas Meunier, Evariste Sanchez-Palencia
    Pages 159-202
  5. Gerasim Kokarev, Nikolai Nadirashvili
    Pages 229-238
  6. Oleg Motygin, Nikolay Kuznetsov
    Pages 253-274
  7. Back Matter
    Pages 379-385

About this book


International Mathematical Series Volume 12
Around the Research of Vladimir Maz'ya II
Partial Differential Equations
Edited by Ari Laptev

Numerous influential contributions of Vladimir Maz'ya to PDEs are related to diverse areas. In particular, the following topics, close to the scientific interests of V. Maz'ya are discussed: semilinear elliptic equation with an exponential nonlinearity resolvents, eigenvalues, and eigenfunctions of elliptic operators in perturbed domains, homogenization, asymptotics for the Laplace-Dirichlet equation in a perturbed polygonal domain, the Navier-Stokes equation on Lipschitz domains in Riemannian manifolds, nondegenerate quasilinear subelliptic equations of p-Laplacian type, singular perturbations of elliptic systems, elliptic inequalities on Riemannian manifolds, polynomial solutions to the Dirichlet problem, the first Neumann eigenvalues for a conformal class of Riemannian metrics, the boundary regularity for quasilinear equations, the problem on a steady flow over a two-dimensional obstacle, the well posedness and asymptotics for the Stokes equation, integral equations for harmonic single layer potential in domains with cusps, the Stokes equations in a convex polyhedron, periodic scattering problems, the Neumann problem for 4th order differential operators.

Contributors include: Catherine Bandle (Switzerland), Vitaly Moroz (UK), and Wolfgang Reichel (Germany); Gerassimos Barbatis (Greece), Victor I. Burenkov (Italy), and Pier Domenico Lamberti (Italy); Grigori Chechkin (Russia); Monique Dauge (France), Sebastien Tordeux (France), and Gregory Vial (France); Martin Dindos (UK); Andras Domokos (USA) and Juan J. Manfredi (USA); Yuri V. Egorov (France), Nicolas Meunier (France), and Evariste Sanchez-Palencia (France); Alexander Grigor'yan (Germany) and Vladimir A. Kondratiev (Russia); Dmitry Khavinson (USA) and Nikos Stylianopoulos (Cyprus); Gerasim Kokarev (UK) and Nikolai Nadirashvili (France); Vitali Liskevich (UK) and Igor I. Skrypnik (Ukraine); Oleg Motygin (Russia) and Nikolay Kuznetsov (Russia); Grigory P. Panasenko (France) and Ruxandra Stavre (Romania); Sergei V. Poborchi (Russia); Jurgen Rossmann (Germany); Gunther Schmidt (Germany); Gregory C. Verchota (USA).

Ari Laptev
Imperial College London (UK) and
Royal Institute of Technology (Sweden)
Ari Laptev is a world-recognized specialist in Spectral Theory of
Differential Operators. He is the President of the European Mathematical
Society for the period 2007- 2010.

Tamara Rozhkovskaya
Sobolev Institute of Mathematics SB RAS (Russia)
and an independent publisher
Editors and Authors are exclusively invited to contribute to volumes highlighting
recent advances in various fields of mathematics by the Series Editor and a founder
of the IMS Tamara Rozhkovskaya.

Cover image: Vladimir Maz'ya


Boundary value problems Eigenvalue Elliptic operators Regularity differential equation orthogonal polynomials partial differential equation

Editors and affiliations

  • Ari Laptev
    • 1
  1. 1.Department of MathematicsImperial CollegeLondonUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media, LLC 2010
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4419-1342-5
  • Online ISBN 978-1-4419-1343-2
  • Series Print ISSN 1571-5485
  • Series Online ISSN 1574-8944
  • About this book