二阶奇异椭圆方程的Dirichlet问题Dirichlet problems on some classes of second order singular elliptic equations
韩彦武,钮鹏程
摘要(Abstract)：
对二阶奇异椭圆方程-Δu+1uα-λup=0的Dirichlet问题(λ>0,0
关键词(KeyWords)：
不存在性;存在性;极小解
基金项目(Foundation):
陕西省自然科学基金资助(2003CS0101).
作者(Author):
韩彦武,钮鹏程
参考文献(References)：
- [1] DiazJI,Morel,JM,OswaldI.Anellipticequationwithsingularnonlinearity[J].Comm.P.D.E.,1987,12(2):1333～1344.
- [2] ChoiYS,LazerAC,McKennaPJ.Someremarksonasingularellipticboundaryvalueproblem[J].33NonlinearAnalysis,Theory,MethodsandApplications,1998,32(3):305～314.
- [3] ZhangZJ.OnaDirichletproblemwithasingularnonlinearity[J].J.Math.Anal.Appl.,1995,194:103～113.
- [4] GilbargD,TrudingerNS.Ellipticparticialdifferentialequationsofsecondorder[M].2nded.Springer-verlag,1983.
- [5] LionsPL.Ontheexistenceofpositivesolutionsofsemilinearellipticequations[J].SIAMReview,1982,24(4):1215～1327.
- [6] AmbrosettiA,BrezisH,CeramiG.Combinedeffectsofconcaveandconvexnonlinearitiesinsomeellipiticproblems[J].J.FunctionalAnalysis,1994,122:519～543.