Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case (Q1710548)
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scientific article; zbMATH DE number 7005210
| Language | Label | Description | Also known as |
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| English | Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case |
scientific article; zbMATH DE number 7005210 |
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Optimal number of solutions for nonlinear coupled Schrödinger systems. I: Synchronized case (English)
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22 January 2019
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This paper is concerned with the study of a class of semilinear Schrödinger systems with Neumann boundary condition. The main result of this paper establishes a sufficient condition for the existence of positive solutions in the cooperative case. A key tool in the arguments is played by the Lyapunov-Schmidt reduction method.
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semilinear Schrödinger systems
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Neumann condition
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Lyapunov-Schmidt reduction
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synchronized solution
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