论文标题
诺伊曼条件的混合操作员的线性理论
Linear theory for a mixed operator with Neumann conditions
论文作者
论文摘要
我们在这里考虑在适当的诺伊曼条件下一种新型的混合局部和非局部方程。我们讨论了与加权特征值问题相关的光谱特性，并提出了针对亚物种的全局界限。我们考虑的诺伊曼条件包括特殊的情况，即最近在[S. Dipierro，X。Ros-Oton，E。Valdinoci，Rev。Mat。 iberoam。 （2017）]。此外，我们在这里提出的结果发现了自然应用于由生物学问题动机的逻辑方程，这些方程最近在[S. S. Dipierro，E。ProiettiLippi，E。Valdinoci，预印本（2020）]。
We consider here a new type of mixed local and nonlocal equation under suitable Neumann conditions. We discuss the spectral properties associated to a weighted eigenvalue problem and present a global bound for subsolutions. The Neumann condition that we take into account comprises, as a particular case, the one that has been recently introduced in [S. Dipierro, X. Ros-Oton, E. Valdinoci, Rev. Mat. Iberoam. (2017)]. Also, the results that we present here find a natural application to a logistic equation motivated by biological problems that has been recently considered in [S. Dipierro, E. Proietti Lippi, E. Valdinoci, preprint (2020)].
