6533b828fe1ef96bd12886a4

RESEARCH PRODUCT

A generalized porous medium equation related to some singular quasilinear problems

Francesco Petitta

subject

SequencePure mathematicsPartial differential equationApplied MathematicsMathematics::Number TheoryMathematical analysisDomain (mathematical analysis)Dirichlet distributionElliptic curvesymbols.namesakeMathematics - Analysis of PDEsBounded functionsymbolsFOS: MathematicsBoundary value problemAnalysisMathematicsReal numberAnalysis of PDEs (math.AP)

description

Abstract In this paper we study the existence and nonexistence of solutions for a Dirichlet boundary value problem whose model is { − ∑ m = 1 ∞ a m Δ u m = f in  Ω u = 0 on  ∂ Ω , where Ω is a bounded domain of R N , a m is a sequence of nonnegative real numbers, and f is in L q ( Ω ) , q > N 2 .

10.1016/j.na.2010.01.043http://hdl.handle.net/11573/343420