ABSTRACT In this paper, we consider the existence of solutions to a quadratically coupled Schrödinger systems under the condition Here N=1, 2, and a, b>0 are fixed. In the systems,… Click to show full abstract
ABSTRACT In this paper, we consider the existence of solutions to a quadratically coupled Schrödinger systems under the condition Here N=1, 2, and a, b>0 are fixed. In the systems, and are unknown. We prove that there exists a solution to the systems with , , and being positive, radially symmetric, and decreasing with . Our argument is heavily based on the rearrangement techniques.
               
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