Search results for "Exterior domains"

showing 2 items of 2 documents

Multiple positive solutions for singularly perturbed elliptic problems in exterior domains

2003

Abstract The equation − e 2 Δ u + a e ( x ) u = u p −1 with boundary Dirichlet zero data is considered in an exterior domain Ω = R N ⧹ ω ( ω bounded and N ⩾2). Under the assumption that a e ⩾ a 0 >0 concentrates round a point of Ω as e →0, that p >2 and p N /( N −2) when N ⩾3, the existence of at least three positive distinct solutions is proved.

Dirichlet problemPure mathematicsPartial differential equationApplied MathematicsMathematical analysisZero (complex analysis)Boundary (topology)Exterior domains; lack of compactness; multiplicity of solutionslack of compactnessDirichlet distributionExterior domainsmultiplicity of solutionssymbols.namesakeBounded functionDomain (ring theory)symbolsMathematical PhysicsAnalysisMathematics
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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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