论文标题
非变化的Schrödinger系统的归一化解决方案
Normalized solutions to a non-variational Schrödinger system
论文作者
论文摘要
我们确定了对$ \ ell $方程的非变化弱耦合椭圆系统的阳性归一化解决方案的存在。我们考虑合作和竞争类型的耦合。我们表明，该问题可以作为$ \ ell $ $ $ $ l^2 $ -spheres产品的运算符方程式，并在该产品上应用学位理论论点以获得存在。
We establish the existence of positive normalized (in the $L^2$ sense) solutions to non-variational weakly coupled elliptic systems of $\ell$ equations. We consider couplings of both cooperative and competitive type. We show the problem can be formulated as an operator equation on the product of $\ell$ $L^2$-spheres and apply a degree-theoretical argument on this product to obtain existence.
