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POSITIVE SOLUTIONS AND INFINITELY MANY SOLUTIONS FOR A WEAKLY COUPLED SYSTEM 被引量:1
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作者 xueliang duan Gongming WEI Haitao YANG 《Acta Mathematica Scientia》 SCIE CSCD 2020年第5期1585-1601,共17页
We study a Schrodinger system with the sum of linear and nonlinear couplings.Applying index theory,we obtain infinitely many solutions for the system with periodic potent ials.Moreover,by using the concentration compa... We study a Schrodinger system with the sum of linear and nonlinear couplings.Applying index theory,we obtain infinitely many solutions for the system with periodic potent ials.Moreover,by using the concentration compactness met hod,we prove the exis tence and nonexistence of ground state solutions for the system with close-to-periodic potentials. 展开更多
关键词 coupled Schrodinger system ground state solution infinitely many solutions concentration compactness principle
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