一类渐近线性Neumann问题正解的存在性Existence of positive solutions for asymptotically linear Neumann problem
裴瑞昌;何万生;马草川;
摘要(Abstract)：
利用变分法获得了一类渐近线性N eum ann问题正解的存在性结果.
关键词(KeyWords)： 正解;渐近线性;Neumann问题;变分法
基金项目(Foundation): 国家自然科学基金资助项目(10171040)
作者(Authors): 裴瑞昌;何万生;马草川;
参考文献(References)：
- [1]Am borosetti A,R ab inow itz P H.dua l variationa l in critica l m ethods in critica l theory and app lication[J].J.funct.A na l.,1973,14:349-381.
- [2]B rez is H,N irenberg L.Pos itive so lu tions of non linear e llip itic equation invo lv ing critica l sobo levexponen ts[J].comm.pure.app l.m ath.,1983,36:437-477.
- [3]R ab inow itz P H.M in im ax m ethods in critica l po in t theory w ith A pp lication to d ifferitiona l equations:CBM s R eg iona l Con ference Series in m ath,N o.65[C].R hode Island:Am erican M atherm atica l Soc iety,1986.
- [4]S tuart C A.Se lf trapp ing of an e lectrom agnetic fie ld and b ifuraction from the essen tia l specturm[J].A rch.rat.M ech.A na l.,1991,113:65-96.
- [5]S tuart C A.M agnetic fie ld w ave gu ides[M]//C aristiM itid ieri.reaction D ifus ion system s.N ew Y ork:M arce l D ekker,1997.
- [6]Zhou Huansong.Ex istence of asym ptotica lly linear D irich let prob lem[J].non linear ana l.,2001,44:909-918.
- [7]彭双阶.一类非线性椭圆方程N eum ann问题正解的存在性.河北师大学报,2000,24(3):286-288.
- [8]M aw h in J,W illem M.G ritica l Po in t T heory and H am ilton ian System s[M].N ew Y ork:Springer-V erlag,1989.