带有双幂非线性项的 $L^2$-次临界变分问题的极小元性质——献给邓引斌教授 70 寿辰

Abstract

Abstract:

This paper mainly studies the properties of minimizers for $L^2$-subcritical constrained variational problems with double-power nonlinear terms. Applying the compactness lemma and some important inequalities, we first prove the existence of minimizers. Based on this, using energy method, blow-up argument and some other methods, we further analyze the limiting behavior of positive minimizers as the attractive strength $\alpha$ among the particles tends to infinity.

Key words: double-power nonlinear terms, minimizers, existence, limiting behavior

CLC Number:

O177.91

Yujin Guo, Shu Zhang. Minimizers of $L^2$-Subcritical Constraint Variational Problems with Double-Power Nonlinear Terms[J].Acta mathematica scientia,Series A, 2026, 46(4): 1309-1319.

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References 20

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Minimizers of $L^2$-Subcritical Constraint Variational Problems with Double-Power Nonlinear Terms

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