简介:Inthispaper,westudythemixedelementmethodforSobolevequations.Atime-discretizationprocedureispresentedandanalysedandtheoptimalordererrorestimatesarederived.Forconvenienceinpracticalcomputation,analternating-directioniterativeschemeofthemixedfi-niteelementmethodisformulatedanditsstabilityandconverbenceareprovedforthelinearprob-lem.Anumericalexampleisprovidedattheendofthispaper.
简介:运用变分方法研究了下面问题-Δpu=μupx(s)s-2u+f(x,u),x∈Ω,u=0,x∈Ω,多重解的存在性,其中Ω是一个具有光滑边界的有界区域.
简介:本文用Ekeland变分原理证明了一类具Hardy项和Hardy—Sobolev临界指数的半线性椭圆方程正解的存在性,并用最大值原理对正解进行估计.