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唐春雷 《数学物理学报(B辑英文版)》1999,19(3):289-292
1991MRSubjectClassification35C15,58E50ConsiderthesernilinearellipticdifferentialequationInthestudyofllollliliearSchrodingerequations,nonlinearequationsofKleili~Gordolltypeall(1reaction-diffusiollequatiolls,sollltionsof(1)correspolldtostalldingwavesolutions.stroll(lill~(ortraveling)wavesolutionsandsteadystatesofthesystem.Manypapersdealtwiththeautonomouscasewhere5andfareindependentofatorwiththeradiallysynlluetriccasewherebandfdependonfi](see[1-4]andtheirreferences).Recentlytheperiodiccaseand… 相似文献
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杨瑛 《数学物理学报(B辑英文版)》1999,19(1):37-44
1IntroductionandResultConsiderthenonparametricmedianregressionlllodelwhereg:[0,1]-Risasmoothfunctiontobeestilllated.{xu,.15z57L}arelloll-ralldollldesignpointsintheinterval[0,1],{e,,i.15i相似文献
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《数学物理学报(B辑英文版)》2017,37(2):555-572
In this article, we study the following nonhomogeneous Schr¨odinger-Poisson equations -?u + λV(x)u + K(x)φu = f(x, u) + g(x), x ∈ R~3,?-?φ = K(x)u~2, x ∈ R~3,where λ 0 is a parameter. Under some suitable assumptions on V, K, f and g, the existence of multiple solutions is proved by using the Ekeland's variational principle and the Mountain Pass Theorem in critical point theory. In particular, the potential V is allowed to be signchanging. 相似文献