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Normalized Solutions of Nonlinear Choquard Equations with Nonconstant PotentialOA北大核心

中文摘要

In this paper,we mainly focus on a type of nonlinear Choquard equations with nonconstant potential.Under appropriate hypotheses on potential function and nonlinear terms,we prove that the above Choquard equation with prescribed 2-norm has some normalized solutions by introducing variational methods.

LI Nan;XU Liping

School of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471000,ChinaSchool of Mathematics and Statistics,Henan University of Science and Technology,Luoyang 471000,China

数学

Nonlinear Choquard equationPotential functionVariational methodNormalized solution

《应用数学》 2025 (1)

P.14-29,16

Supported by the National Natural Science Foundation of China(11671403,11671236,12101192)Henan Provincial General Natural Science Foundation Project(232300420113)。

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