Elliptic partial differential equations : existence and regularity of distributional solutions /

Elliptic partial differential equations is one of the main and most active areas in mathematics. In our book we study linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this r...

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Bibliographic Details
Main Authors: Boccardo, L. (Author), Croce, Gisella (Author)
Format: Electronic eBook
Language:English
Published: Boston ; Berlin : De Gruyter Mouton, [2014]
Series:De Gruyter studies in mathematics ; 55.
Subjects:
Online Access:CONNECT
Table of Contents:
  • Some fixed point theorems
  • Preliminaries of real analysis
  • Linear and semilinear elliptic equations
  • Nonlinear elliptic equations
  • Summability of the solutions
  • H2 regularity for linear problems
  • Spectral analysis for linear operators
  • Calculus of variations and Euler's equation
  • Natural growth problems
  • Problems with low summable sources
  • Uniqueness
  • A problem with polynomial growth
  • A problem with degenerate coercivity.