Existence and multiplicity of positive solutions for a class of Kirchhoff type problems with nonlinear boundary conditions

In this work, we peruse a class of Kirchhoff type problems with nonlinear boundary conditions on a bounded domain, and earn the uniqueness and existence of positive solutions for a class of those problems by the variational methods. Also, we earn the multiplicity of positive solutions of those probl...

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Veröffentlicht in:Afrika mathematica 2021-06, Vol.32 (3-4), p.441-465
Hauptverfasser: Yazdani, Somayeh, Alizadeh Afrouzi, Ghasem, Rezaee Roshan, Jamal, Rasouli, Sayyed Hashem
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Sprache:eng
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Zusammenfassung:In this work, we peruse a class of Kirchhoff type problems with nonlinear boundary conditions on a bounded domain, and earn the uniqueness and existence of positive solutions for a class of those problems by the variational methods. Also, we earn the multiplicity of positive solutions of those problems by using the Nehari manifold.
ISSN:1012-9405
2190-7668
DOI:10.1007/s13370-020-00836-8