Infinitely many solutions for linearly coupled Schrödinger systems in ℝ3
Lushun Wang,
Dehua Zeng
Abstract:In this paper, we consider the following linearly coupled nonlinear Schrödinger system:
where
, and
are radial, positive, and continuous and satisfying that
When
and
satisfy some weak power decay condition at infinity; we show that problem
has infinitely many nonradial positive solutions by using the Lyapunov–Schmidt reduction method.
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