Search results for "Kirchhoff type"

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Variable exponent p(x)-Kirchhoff type problem with convection

2022

Abstract We study a nonlinear p ( x ) -Kirchhoff type problem with Dirichlet boundary condition, in the case of a reaction term depending also on the gradient (convection). Using a topological approach based on the Galerkin method, we discuss the existence of two notions of solutions: strong generalized solution and weak solution. Strengthening the bound on the Kirchhoff type term (positivity condition), we establish existence of weak solution, this time using the theory of operators of monotone type.

ConvectionKirchhoff type termApplied MathematicsWeak solutionMathematical analysisWeak solutionGeneralized solutionType (model theory)ConvectionTerm (time)Pseudomonotone operatorNonlinear systemsymbols.namesakeMonotone polygonGalerkin basisSettore MAT/05 - Analisi MatematicaDirichlet boundary conditionsymbolsGalerkin methodAnalysisMathematics
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An Existence Result for Fractional Kirchhoff-Type Equations

2016

The aim of this paper is to study a class of nonlocal fractional Laplacian equations of Kirchhoff-type. More precisely, by using an appropriate analytical context on fractional Sobolev spaces, we establish the existence of one non-trivial weak solution for nonlocal fractional problems exploiting suitable variational methods.

Kirchhoff typeApplied MathematicsFractional equations010102 general mathematicsMathematical analysisvariational methodsVariational methodAnalysiCritical point result01 natural sciencesFractional equationsFractional equationFractional calculus010101 applied mathematicscritical point resultsSimultaneous equations0101 mathematicsFractional equations variational methods critical point resultsAnalysisMathematicsZeitschrift für Analysis und ihre Anwendungen
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