Search results for "eigenvalue problems"

showing 4 items of 4 documents

On the Construction of Lusternik-Schnirelmann Critical Values with Application to Bifurcation Problems

1987

An iterative method to construct Lusternik-Schnirelmann critical values is presented. Examples of its use to obtain numerical solutions to nonlinear eigenvalue problems and their bifurcation branches are given. peerReviewed

Lusternik-Schnirelmann critical valuesMathematics::General Topologynonlinear eigenvalue problemsMathematics::Algebraic Topology
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A symmetrization result for Monge–Ampère type equations

2007

In this paper we prove some comparison results for Monge–Ampere type equations in dimension two. We also consider the case of eigenfunctions and we derive a kind of “reverse” inequalities. (© 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

Mathematics::Complex VariablesGeneral MathematicsMathematical analysisComparison resultsMonge-Ampère equationEigenfunctionType (model theory)Monge-Ampère equationsDimension (vector space)Settore MAT/05 - Analisi Matematicaeigenvalue problemrearrangementsSymmetrizationAmpereEigenvalue problemsMathematicsMathematische Nachrichten
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Critical points for nondifferentiable functions in presence of splitting

2006

A classical critical point theorem in presence of splitting established by Brézis-Nirenberg is extended to functionals which are the sum of a locally Lipschitz continuous term and of a convex, proper, lower semicontinuous function. The obtained result is then exploited to prove a multiplicity theorem for a family of elliptic variational-hemivariational eigenvalue problems. © 2005 Elsevier Inc. All rights reserved.

Mathematics::Functional AnalysisPure mathematicsnon-smooth functionNonsmooth functionssplittingApplied MathematicsMathematical analysisMultiple solutionsMultiple solutionMathematics::Analysis of PDEsRegular polygoncritical point; non-smooth function; splittingcritical pointMultiplicity (mathematics)Critical pointsNonsmooth functionElliptic variational-hemivariational eigenvalue problemLipschitz continuityCritical point (mathematics)Elliptic variational–hemivariational eigenvalue problemsSplittingsEigenvalues and eigenvectorsAnalysisMathematics
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Exact constants in Poincaré type inequalities for functions with zero mean boundary traces

2014

In this paper, we investigate Poincare type inequalities for the functions having zero mean value on the whole boundary of a Lipschitz domain or on a measurable part of the boundary. We find exact and easily computable constants in these inequalities for some basic domains (rectangles, cubes, and right triangles) and discuss applications of the inequalities to quantitative analysis of partial differential equations. Copyright © 2014 John Wiley & Sons, Ltd.

Zero meanPartial differential equationeigenvalue problemsGeneral MathematicsMathematical analysista111General EngineeringBoundary (topology)Value (computer science)Type (model theory)Physics::History of PhysicsPoincare type inequalitiessymbols.namesakeLipschitz domainerror estimatesPoincaré conjecturesymbolsfunctional inequalitiesMathematicsMathematical Methods in the Applied Sciences
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