Unilateral Problems for Scalar Functions

  • I. Hlaváček
  • J. Haslinger
  • J. Nečas
  • J. Lovíšek
Part of the Applied Mathematical Sciences book series (AMS, volume 66)

Abstract

In this chapter we will consider boundary-value problems with one-sided conditions in the form of inequalities, where the unknown is a single real scalar function in a given domain of an n-dimensional space R n, n = 2, 3. First we pay attention to problems in which the inequalities are prescribed only on the boundary of the domain considered. Then we deal with problems which involve inequalities inside the domain, i.e., with an obstacle inside the domain. For the sake of simplicity we restrict our exposition to the second order elliptic operators.

Keywords

Lution 

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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • I. Hlaváček
    • 1
  • J. Haslinger
    • 2
  • J. Nečas
    • 2
  • J. Lovíšek
    • 3
  1. 1.Mathematical Institute of the Czechoslovak Academy of SciencesPraha 1Czechoslovakia
  2. 2.Faculty of Mathematics and Physics of the Charles UniversityPragueCzechoslovakia
  3. 3.Faculty of Civil EngineeringSlovak Technical UniversityBratislavaCzechoslovakia

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