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

Papageorgiou, Nikolaos S., Rădulescu, Vicenţiu D., Repovš, Dušan D.

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.

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