【摘要】<正>Anexistencetheoremforthesolutiontotheequation-△u+b(x)u=f(x,u),inR~Nisgivenbymeansofvariationalmethodwhereb(x)→∞,as丨x丨→∞andf(x,s)haslineargrowthinsatinfinityandsublineargrowthinsatzero.Foraspecialcase,somemultiplicityresultisproved.
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