Discontinuous Multi-Valued Elliptic Problems

Siegfried Carl () and Seppo Heikkilä ()
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Siegfried Carl: Martin-Luther-Universität Halle-Wittenberg, Institut für Mathematik
Seppo Heikkilä: University of Oulu, Department of Mathematical Sciences

Chapter 4 in Fixed Point Theory in Ordered Sets and Applications, 2011, pp 131-178 from Springer

Abstract: Abstract 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.

Keywords: Elliptic Problem; Auxiliary Problem; Small Solution; Maximal Solution; Extremal Solution (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4419-7585-0_4

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DOI: 10.1007/978-1-4419-7585-0_4

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