Search results for "Multiplicity result"

showing 5 items of 15 documents

Poincar é-Birkhoff fixed point theorem and periodic solutions of asymptotically linear planar Hamiltonian systems. (Turin Fortnight Lectures on Nonli…

2002

Poincaré-Birkhoff theorem historical remarks multiplicity results
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Multiplicity results for fourth order two-point boundary value problems with asymmetric nonlinearities

1998

Point boundaryFourth orderApplied MathematicsMultiplicity resultsConjugate pointsMathematical analysisMultiplicity (mathematics)AnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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Existence and multiplicity results for semilinear elliptic Dirichlet problems in exterior domains

1995

Pure mathematicslack of emptinesspositive solutionsApplied MathematicsMultiplicity resultsNonlinear elliptic Dirichlet problemsMathematical analysisDirichlet L-functionvariational methodsDirichlet's energyDirichlet distributionExterior domainsDirichlet kernelsymbols.namesakeDirichlet's principlesymbolsExterior domains; lack of emptiness; Nonlinear elliptic Dirichlet problems; positive solutions; variational methodsAnalysisDirichlet seriesMathematics
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Multiplicity results for asymmetric boundary value problems with indefinite weights

2004

We prove existence and multiplicity of solutions, with prescribed nodal properties, to a boundary value problem of the formu″+f(t,u)=0,u(0)=u(T)=0. The nonlinearity is supposed to satisfy asymmetric, asymptotically linear assumptions involving indefinite weights. We first study some auxiliary half-linear, two-weighted problems for which an eigenvalue theory holds. Multiplicity is ensured by assumptions expressed in terms of weighted eigenvalues. The proof is developed in the framework of topological methods and is based on some relations between rotation numbers and weighted eigenvalues.

lcsh:MathematicsApplied MathematicsMultiplicity resultsMathematical analysis34B15Of the formMultiplicity (mathematics)Mixed boundary conditionlcsh:QA1-939Asymmetric boundary value problem asymptotically linear two-weighted problems eigenvalue theory topological methods rotation number multiplicity resultFree boundary problemBoundary value problemAnalysisMathematicsAbstract and Applied Analysis
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Multiplicity of solutions for asymptotically linear $n$-th order boundary value problems

2007

In this paper we investigate existence and multiplicity of solutions, with prescribed nodal properties, to a two-point boundary value problem of asymptotically linear $n$-th order equations. The proof follows a shooting approach and it is based on the weighted eigenvalue theory for linear $n$-th order boundary value problems

n-th order problem asymptotically linear multiplicity results shooting approach weighted eigenvalues
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