论文标题
上限的上限，用于签名解决方案的最少能量到零质量问题
An upper bound for the least energy of a sign-changing solution to a zero mass problem
论文作者
论文摘要
我们给出了签名解决方案的最小能量的上限。更确切地说，我们建立了一个非放置签名解决方案的存在，如果$ n = 5,6 $，如果$ n = 5,6 $，则$ 12C_0 $，如果$ n \ geq 7 $，则$ c_0 $是基础状态。
We give an upper bound for the least energy of a sign-changing solution to the the nonlinear scalar field equation $$-Δu = f(u), \qquad u\in D^{1,2}(\mathbb{R}^{N}),$$ where $N\geq5$ and the nonlinearity $f$ is subcritical at infinity and supercritical near the origin. More precisely, we establish the existence of a nonradial sign-changing solution whose energy is smaller that $12c_0$ if $N=5,6$ and smaller than $10c_0$ if $N\geq 7$, where $c_0$ is the ground state energy.
