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We study a Schrödinger system with the sum of linear and nonlinear couplings. Applying index theory, we obtain infinitely many solutions for the system with periodic potentials. Moreover, by using… Click to show full abstract
We study a Schrödinger system with the sum of linear and nonlinear couplings. Applying index theory, we obtain infinitely many solutions for the system with periodic potentials. Moreover, by using the concentration compactness method, we prove the existence and nonexistence of ground state solutions for the system with close-to-periodic potentials.
Keywords:
system;
solutions infinitely;
positive solutions;
solutions weakly;
many solutions;
infinitely many
Journal Title: Acta Mathematica Scientia
Year Published: 2020
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Journal Title: Acta Mathematica Scientia
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!