Discontinuous Multi-Valued Elliptic Problems

  • Siegfried Carl
  • Seppo Heikkilä


In this chapter we study various multi-valued elliptic boundary value problems involving discontinuous and nonlocal nonlinearities. The basic tools in dealing with these kinds of problems are on the one hand the existence and comparison results of Sect. 3.2 and on the other hand the abstract fixed point results provided in Chap. 2.


Elliptic Problem Auxiliary Problem Small Solution Maximal Solution Extremal Solution 
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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Institut für MathematikMartin-Luther-Universität Halle-WittenbergHalleGermany
  2. 2.Department of Mathematical SciencesUniversity of OuluOuluFinland

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