论文标题
罗宾拉普拉斯(Robin Laplacian
Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential
论文作者
论文摘要
我们考虑了罗宾·拉普拉斯(Robin Laplacian)的特征值问题的超线性扰动以及无限且无限的潜力。使用变分工具和关键组,我们表明,当$λ$接近非原则特征值时,该问题具有七个非平凡的解决方案。我们为其中六个提供了符号信息。
We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we show that when $λ$ is close to a nonprincipal eigenvalue, then the problem has seven nontrivial solutions. We provide sign information for six of them.