一类椭圆方程及椭圆系统解存在性

《一类椭圆方程及椭圆系统解存在性》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、-3p^2F#HlmX;&√(7)ZeC9

2、r!℄)!11FEv:WTuo/V/kVejCÆFnÆ)oo!,[!1!h9h.,!#+_Z;/V/kVZ}
^%:_u%moC.eBv5$2w1m!)fEo^%C.!o^%:_℄Fe>3o31Ul,0m!Bmv,oSv.!Evob+!1Ha._*x:5:-3p^2F#H4i7.8√(7)ZeC9

3、r!℄)jCÆFnÆ)oo!)!1!#+_Z;

4、/V/kVZ},!h9h.Co/V/kVZe.!eo^%C#+_Zu,!eo^%72mowoxv).!1+U#+_ZE
Zeo
},sZA^,>E5npeo)zUyW!,Te;U!1b(#+_Z,7o8}zfw)>^e,7o=1)eo+5f5$7._*x:5:hx:5:"*
^YjUYdeAm
jAm>rropWqa&#Zn&#EgniDosr.VZsrYnEd5i,Z.YTv[ÆnB9+.&#

5、Yn℄$?ZRnj7.&#E&Zn&#nR(dn"E

6、a,xC+1Gn"E~6,xnz7
d^wYEdnG(dnv,otgZi

7、e
n6"?RzA,,nRz{z"ES$j7e7.YGYSVYpY4A,8{n&#E.Edn&#E"fEpE[YET[Ep.&#ZY"EYpY4[ÆA>nosr.
&n)

8、ET)

9、E,℄$T+5;T5;nEnmX-n(,5T[np2
,+tlin{i%7n[

10、dA.6(

11、~6#n-<':udrT&#nm".u}rYu
n&n)

12、Eng>,o℄$n-n%7−∆u=µf(x,u)ΩA,u=0∂Ω>,NAµ∈(0,∞),Ω⊂R(N>2)Z+G%n!Æ,+fDuZnZWn.5n<,8#2And,olAR
fZvld,+o6lin[TE.5n<-,ofliTnE.u/ro℄$n-nn[−△u+V(x)u=Hu(x,u,v)ΩA;−△v+V(x)v=Hv(x,u,v)ΩA;u(x)=0,v(x)

13、=0∂Ω>,i"*
^YjUYdNAV(x)∈C(R,R),H(x,z)DzSZXn,Az:=(u,v),)

14、EliT>d(n.nÆ*~F;7;!;*;(C)cVX.ii"*
^YjUYdAbstractThevariationalmethodisanapproximatecalculationmethodwhichbasedonthevariationalprinciple.Itisoneoftheimportantmethodsincomputationalmechanics,andan

15、effectivetooltosolvetheproblemofmechanicsandotherareas.ThestudyobjectofVariationalisextremumproblemofthefunctional.Thevariationalprinci-pleisavariationalformrepresentationsofphysicallaws,anditdoesnotcontainnewphysicalcontent.Itsvalueismainlyusedasthenewstartingpointforthest

16、ructureofclassicalmechanicstheory.Inotherwords,inallmotionstateofsatisfycertaincon-straints,actualmotionstateshouldmakesomephysicalquantitytheextremevalue.Inmechanics,optics,quantummechanicsandothersubjects,ithasthecorrespondingvariationalprinciple.Therearesomeimportantvar

17、iationalprinciplessuchasFermat’sprinciple,Hamiltonianprinciple,theprincipleofminimumenerg