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Nonlocal Investigations of Inhomogeneous Indefinite Elliptic Equations via Variational Methods

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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.

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Il’yasov, Y., Runst, T. (2003). Nonlocal Investigations of Inhomogeneous Indefinite Elliptic Equations via Variational Methods. In: Haroske, D., Runst, T., Schmeisser, HJ. (eds) Function Spaces, Differential Operators and Nonlinear Analysis. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8035-0_23

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  • DOI: https://doi.org/10.1007/978-3-0348-8035-0_23

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9414-2

  • Online ISBN: 978-3-0348-8035-0

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