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一类具有临界增长的多重调和椭圆系统解的存在和非存在性

, PP. 198-201

Keywords: 变分法,临界指标,多重调和系统

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Abstract:

利用变分法研究带临界指标的多重调和半线性椭圆方程组,通过约束极小法和Pohozaev恒等式给出了此类方程组解的存在性和非存在性的条件.

References

[1]  BrezisH,Nirenberg L.Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents[J].Commun Pure ApplMath,1983,36:437ˉ477.
[2]  De Figueredo D.Semilinear ellipitic systems:a survey of super linear problems[J].Resenhas IMEˉUSP,1996,2:373ˉ391.
[3]  Swanson C A.The best Sobolev constant[J].ApplAnal,1992,47:227ˉ239.
[4]  Pucci P,Serrin J.Critical exponents and critical dimensions for polyharmonic operators[J].JMath PuresAppl,1990,69:55ˉ83.
[5]  Bartsch T,GuoY X.Existence and nonexistence results for criticalgrowth polyharmonic elliptic systems[J].JDifferentialEquaˉtion,2006,220:531ˉ543.
[6]  Sruwe M.VariationalMethods:Applications to Nonlinear Partial Differential Equations and Hamiltonian Systems[M].Berlin:SpringerˉVerlag,1996.
[7]  DengYinˉbin,Guo Zhenˉhua,W ang Gengˉsheng.Nodal solutions for pˉLaplace equationswith critical growth[J].NonlinearAˉnalysis,2003,54:1121ˉ1151.
[8]  BrezisH,Lieb E.A relation between pointwise convergence of functions and convergence of functionals[J].Proc Am Math Soc,1993,48:486ˉ499.
[9]  Pucci P,Serrin J.A general variational identity[J].IndianaUnivMath,1986,35:681ˉ703.

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