Search results for "Dirichlet kernel"

showing 5 items of 5 documents

Generalized dirichlet problem in nonlinear potential theory

1990

The operator extending the classical solution of the Dirichlet problem for the quasilinear elliptic equation divA(x,▽u)=0 akin to thep-Laplace equation is shown to be unique providedA obeys a specific order principle. The Keldych lemma is also generalized to this nonlinear setting.

Dirichlet problemDirichlet kernelsymbols.namesakeDirichlet eigenvalueGeneral MathematicsDirichlet's principleDirichlet boundary conditionMathematical analysissymbolsDirichlet L-functionDirichlet's energyElliptic boundary value problemMathematicsManuscripta Mathematica
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Evolution Problems Associated to Linear Growth Functionals: The Dirichlet Problem

2003

Let Ω be a bounded set inIR N with Lipschitz continuous boundary ∂Ω. We are interested in the problem

Dirichlet problemPure mathematicsBounded setMathematical analysisBoundary (topology)Dirichlet's energyLipschitz continuityElliptic boundary value problemDirichlet kernelsymbols.namesakeDirichlet's principlesymbolsMathematics::Metric GeometryMathematics
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Dirichlet Forms, Poincaré Inequalities, and the Sobolev Spaces of Korevaar and Schoen

2004

We answer a question of Jost on the validity of Poincare inequalities for metric space-valued functions in a Dirichlet domain. We also investigate the relationship between Dirichlet domains and the Sobolev-type spaces introduced by Korevaar and Schoen.

Discrete mathematicsDirichlet formMathematics::Analysis of PDEsDirichlet L-functionDirichlet's energyMathematics::Spectral Theorysymbols.namesakeDirichlet kernelDirichlet's principlesymbolsGeneral Dirichlet seriesAnalysisDirichlet seriesMathematicsSobolev spaces for planar domainsPotential Analysis
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Multiplicity theorems for the Dirichlet problem involving the p-Laplacian

2003

Multiplicity theorems for the Dirichlet problem involving the p-Laplacian were proved using variational approach. It was shown that there existed an open interval and a positive real number, and each problem admits at least three weak solutions. Results on the existence of at least three weak solutions for the Dirichlet problems were established.

Pure mathematicsApplied Mathematicsp-LaplacianMathematical analysisMultiple solutionDirichlet L-functionAnalysiDirichlet's energyMathematics::Spectral TheoryCritical pointDirichlet kernelsymbols.namesakeDirichlet eigenvalueDirichlet's principleDirichlet boundary conditionsymbolsMathematics (all)General Dirichlet seriesAnalysisDirichlet seriesDirichlet problemMathematicsNonlinear 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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