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Normalized solutions for a class of Sobolev critical Schrodinger systems by Li, Houwang; Liu, Tianhao; Zou, Wenming is a scholarly article available to read on EtoBox.

What is Normalized solutions for a class of Sobolev critical Schrodinger systems about?

This paper focuses on the existence and multiplicity of normalized solutions for the coupled Schrodinger system with Sobolev critical coupling term. We present several existence and multiplicity results under some explicit conditions. Furthermore, we present a non-existence result for the defocusing case. This paper, together with the paper [T. Bartsch, H. W. Li and W. M. Zou. Calc. Var. Partial Differential Equations 62 (2023) ], provides a more comprehensive understanding of normalized solutions for Sobolev critical systems. We believe our methods can also address the open problem of the multiplicity of normalized solutions for Schrodinger systems with Sobolev critical growth, with potential for future development and broader applicability.

Author

Li, Houwang; Liu, Tianhao; Zou, Wenming

Published

2024

Language

EN