Search results for "Sharp a priori estimates"

showing 2 items of 2 documents

Symmetrization for singular semilinear elliptic equations

2012

In this paper, we prove some comparison results for the solution to a Dirichlet problem associated with a singular elliptic equation and we study how the summability of such a solution varies depending on the summability of the datum f. © 2012 Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag.

Dirichlet problemSharp a priori estimatesSemilinear elliptic equationsMathematics::Operator AlgebrasApplied MathematicsMathematical analysisMathematics::Classical Analysis and ODEsMathematics::Analysis of PDEsComparison resultsSymmetrizationGeodetic datumElliptic curveSettore MAT/05 - Analisi MatematicaMathematics::K-Theory and HomologySymmetrizationMathematics
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Existence and comparison results for a singular semilinear elliptic equation with a lower order term

2014

This paper deals with the homogeneous Dirichlet problem for a singular semilinear elliptic equation with a first order term. When the datum is bounded we prove an existence result and we show that any solution can be compared with the solution to a suitable symmetrized problem.

Dirichlet problemSharp a priori estimatesSingular elliptic problems with gradient termApplied MathematicsGeneral MathematicsNumerical analysisMathematical analysisMathematics::Analysis of PDEsGeodetic datumSymmetrizationTerm (time)Elliptic curveSingular solutionSettore MAT/05 - Analisi MatematicaBounded functionSymmetrizationMathematics
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