6533b861fe1ef96bd12c580b

RESEARCH PRODUCT

Existence and comparison results for a singular semilinear elliptic equation with a lower order term

Basilio MessanoVincenzo FeroneBarbara Brandolini

subject

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

description

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.

10.1007/s11587-014-0215-7http://hdl.handle.net/10447/493995