Search results for " multiple solutions"

showing 6 items of 6 documents

On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations

2016

In this paper, by using variational methods and critical point theorems, we prove the existence and multiplicity of solutions for boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. Our results extend the second order boundary value problem to the non integer case. Moreover, some conditions to determinate nonnegative solutions are presented and examples are given to illustrate our results.

Applied Mathematics010102 general mathematicsMathematical analysisMultiplicity (mathematics)01 natural sciencesDirichlet distribution010101 applied mathematicssymbols.namesakeSettore MAT/05 - Analisi MatematicasymbolsApplied mathematics0101 mathematicsFractional differentialAnalysisfractional differential equations critical points theorem variational methods multiple solutionsMathematics
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Multiple solutions for a discrete boundary value problem involving the p-Laplacian.

2008

Multiple solutions for a discrete boundary value problem involving the p-Laplacian are established. Our approach is based on critical point theory.

Computational MathematicsComputational Theory and MathematicsSettore MAT/05 - Analisi MatematicaModeling and SimulationMathematical analysisFree boundary problemp-LaplacianBoundary value problemMixed boundary conditionElliptic boundary value problemCritical point (mathematics)Discrete boundary value problem multiple solutions p-Laplacian critical points theoryMathematics
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Multiple solutions for a Sturm-Liouville problem with mixed boundary conditions

2010

Critical points mixed boundary value problems multiple solutions
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Triple solutions for nonlinear elliptic problems driven by a non-homogeneous operator

2020

Abstract Some multiplicity results for a parametric nonlinear Dirichlet problem involving a nonhomogeneous differential operator of p -Laplacian type are given. Via variational methods, the article furnishes new contributions and completes some previous results obtained for problems considering other types of differential operators and/or nonlinear terms satisfying different asymptotic conditions.

Dirichlet problemApplied Mathematics010102 general mathematicsMultiple solutionsp-LaplacianMultiple solutionType (model theory)Differential operator01 natural sciencesCritical point010101 applied mathematicsNonlinear systemOperator (computer programming)Critical point; Multiple solutions; Nonlinear elliptic problem; p-Laplacian; Variational methodsVariational methodsSettore MAT/05 - Analisi MatematicaNon homogeneousApplied mathematicsNonlinear elliptic problem0101 mathematicsLaplace operatorAnalysisMathematicsParametric statistics
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Existence of non-zero solutions for a Dirichlet problem driven by (p(x),q(x)-Laplacian

2021

The paper focuses on a Dirichlet problem driven by the (Formula presented.) -Laplacian. The existence of at least two non-zero solutions under suitable conditions on the nonlinear term is established. The approach is based on variational methods.

Dirichlet problemPure mathematicsmultiple solutionscritical pointsApplied Mathematics010102 general mathematicsZero (complex analysis)q(x))-LaplacianMathematics::Spectral Theory-Laplacian01 natural sciences(p(x)q(x))-Laplacian critical points multiple solutions Dirichlet problemTerm (time)010101 applied mathematicsNonlinear systemSettore MAT/05 - Analisi Matematica0101 mathematics(p(x)Laplace operatorAnalysisDirichlet problemMathematicsApplicable Analysis
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Existence and multiplicity of solutions for non linear elliptic Dirichlet systems

2012

The existence and multiplicity of solutions for systems of nonlinear elliptic equations with Dirichlet boundary conditions is investigated. Under suitable assumptions on the potential of the nonlinearity, the existence of one, or two, or three solutions is established. Our approach is based on variational methods.

Settore MAT/05 - Analisi MatematicaElliptic systems variational problems multiple solutions
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