一类非线性Kirchhoff方程限制极小值点的存在性

Existence of Constrained Minimizers for a Class of Nonlinear Kirchhoff Equations

利用Gagliardo-Nirenberg不等式以及证明一个严格的次可加条件来研究限制在L2(R4)范数下的Kirchhoff方程的极小值点的存在性.

We discuss the minimization problems with a prescribed L^2(R^4)-norm for Kirchhoff equations,with the Gagliardo-Nirenberg inequality and the proof of the strict subadditivity condition.