基于Nehari技巧的一類p(x)-Laplace方程的三解問題.pdf

1、蘭州大學碩士學位論文基于Nehari技巧的一類p（x）Laplace方程的三解問題姓名：劉都超申請學位級別：碩士專業(yè)：數(shù)學基礎數(shù)學指導教師：范先令20090501蘭州大學2009屆碩士學位論文AbstractThisthesisshowstheexistenceofatleastthreenontrivialsolutionstothequasilinearellipticequationwithNeumannboundarycondi

2、tionAp(z)tlI訓p(z)一2u=f(x，札)，z∈Q，祟：o，z∈砌；d∥orDirichletboundaryconditionu：A。p，(茹)u=，(z缸)’z∈Qz∈觸。inasmoothboundeddomainQCⅡPInadditionthethesishasprovedthatonesolutionispositive，oneisnegative，andthelastoneisofsignchangingpro

3、potyThemethodusedhereisbasedonNehariskillsonthreesubmanifoldsofthespaceW1p(z)(Q)or詠護‘z’(Q)Keywords：Criticalpoints；p(z)一Laplacian；Integralfunctionals；GeneralizedLebesgueSobolevspacesMathematicsSubjectClassification(2000)：