Search results for "infinitely many solutions"

showing 4 items of 4 documents

A sequence of positive solutions for sixth-order ordinary nonlinear differential problems

2021

Infinitely many solutions for a nonlinear sixth-order differential equation are obtained. The variational methods are adopted and an oscillating behaviour on the nonlinear term is required, avoiding any symmetry assumption.

SequenceDifferential equationSixth orderApplied MathematicsCritical pointsInfinitely many solutionsSymmetry (physics)Term (time)Nonlinear systemSixth-order equationsSettore MAT/05 - Analisi MatematicaQA1-939Applied mathematicsCritical points; Infinitely many solutions; Sixth-order equationsDifferential (infinitesimal)MathematicsMathematicsElectronic Journal of Qualitative Theory of Differential Equations
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Infinitely many solutions for a perturbed p-Laplacian boundary value problem with impulsive effects

2017

In this paper, we deal with the existence of weak solutions for a perturbed p-Laplacian boundary value problem with impulsive effects. More precisely, the existence of an exactly determined open interval of positive parameters for which the problem admits infinitely many weak solutions is established. Our proofs are based on variational methods.

Control and OptimizationApplied MathematicsPerturbed p-Laplacian boundary value problemCritical point theory; Impulsive effects; Infinitely many solutions; Perturbed p-Laplacian boundary value problem; Variational methods; Analysis; Geometry and Topology; Control and Optimization; Applied MathematicsVariational methodAnalysiImpulsive effectsInfinitely many solutionsImpulsive effectVariational methodsCritical point theoryInfinitely many solutionGeometry and TopologyAnalysis
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Infinitely many weak solutions for a mixed boundary value system with (p_1,…,p_m)-Laplacian

2014

The aim of this paper is to prove the existence of infinitely many weak solu- tions for a mixed boundary value system with (p1, . . . , pm)-Laplacian. The approach is based on variational methods.

Pure mathematicscritical pointsinfinitely many solutionsApplied MathematicsMathematical analysisvariational methodsBoundary valuesCritical points variational methods infinitely many solutions p-Laplacian.$p$-laplacianSettore MAT/05 - Analisi MatematicaQA1-939Laplace operatorMathematicsMathematics
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Infinitely many solutions for a mixed boundary value problem

2010

The existence of infinitely many solutions for a mixed boundary value problem is established. The approach is based on variational methods.

General MathematicsMathematical analysisFree boundary problemBoundary value problemMixed boundary conditionCritical points mixed boundary value problems infinitely many solutionsMathematics
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