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Further results of existence of positive solutions of elliptic Kirchhoff equation with general nonlinearity of source terms

Salah Boulaaras, Youcef Bouizem, Rafik Guefaifia

2020Mathematical Methods in the Applied Sciences12 citationsDOI

Abstract

The paper deals with some existence results for elliptic Kirchhoff equations with respect to general nonlinear source terms and changing sign data, where we have used three different methods: direct variational method, Galerkin approach, and subsolution–supersolution method.

Topics & Concepts

MathematicsNonlinear systemGalerkin methodMathematical analysisSign (mathematics)Elliptic curvePhysicsQuantum mechanicsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in EngineeringAdvanced Mathematical Physics Problems
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