Nonlocal Investigations of Inhomogeneous Indefinite Elliptic Equations via Variational Methods

Yavdat Il’yasov () and Thomas Runst ()
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Yavdat Il’yasov: Bashkir State University
Thomas Runst: Friedrich-Schiller-Universität Jena, Mathematisches Institut

A chapter in Function Spaces, Differential Operators and Nonlinear Analysis, 2003, pp 341-352 from Springer

Abstract: Abstract We consider a class of inhomogeneous Neumann boundary value problems with indefinite nonlinearities. We introduce a new and, in some sense, more general variational approach to these problems. Using this idea we prove new results on the existence and multiplicity of positive solutions.

Keywords: Elliptic Problem; Constrain Minimization Problem; Inhomogeneous Problem; Mixed Constraint; Fibering Method (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-8035-0_23

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DOI: 10.1007/978-3-0348-8035-0_23

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