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Two weak solutions for some Kirchhoff-type problem with Neumann boundary condition

Moloud Makvand Chaharlang, A. Razani

2020Georgian Mathematical Journal28 citationsDOI

Abstract

Abstract In this article we prove the existence of at least two weak solutions for a Kirchhoff-type problem by using the minimum principle, the mountain pass theorem and variational methods in Orlicz–Sobolev spaces.

Topics & Concepts

MathematicsSobolev spaceType (biology)Mathematical analysisMountain pass theoremNeumann boundary conditionBoundary (topology)Pure mathematicsBoundary value problemNonlinear systemPhysicsEcologyBiologyQuantum mechanicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringNumerical methods in inverse problems
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