rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Symmetrization and Stabilization of Solutions of Nonlinear Elliptic Equations
  name:
    name part: Efendiev, Messoud.
    role:
      role term: creator
    role:
      role term: author.
    role:
      role term: aut
    role:
      role term: http://id.loc.gov/vocabulary/relators/aut
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2018
    edition: 1st ed. 2018.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XVII, 258 p. 3 illus. online resource.
  abstract: This book deals with a systematic study of a dynamical system approach to investigate the symmetrization and stabilization properties of nonnegative solutions of nonlinear elliptic problems in asymptotically symmetric unbounded domains. The usage of infinite dimensional dynamical systems methods for elliptic problems in unbounded domains as well as finite dimensional reduction of their dynamics requires new ideas and tools. To this end, both a trajectory dynamical systems approach and new Liouville type results for the solutions of some class of elliptic equations are used. The work also uses symmetry and monotonicity results for nonnegative solutions in order to characterize an asymptotic profile of solutions and compares a pure elliptic partial differential equations approach and a dynamical systems approach. The new results obtained will be particularly useful for mathematical biologists.
  table of contents: Preface -- 1. Preliminaries -- 2. Trajectory dynamical systems and their attractors -- 3. Symmetry and attractors: the case N ≤ 3 -- 4. Symmetry and attractors: the case N ≤ 4 -- 5. Symmetry and attractors -- 6. Symmetry and attractors: arbitrary dimension -- 7. The case of p-Laplacian operator -- Bibliography. .
  note: by Messoud Efendiev.
  subject:
    topic: Partial differential equations
  subject:
    topic: Dynamics
  subject:
    topic: Ergodic theory
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Dynamical Systems and Ergodic Theory
  classification: QA370-380
  classification: 515.353
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Fields Institute Monographs, 36
  identifier: 9783319984070
  identifier: https://doi.org/10.1007/978-3-319-98407-0
  record info:
    record creation date: 181017
    record change date: 20191025231446.0
    record identifier: 978-3-319-98407-0