论文标题
Orlicz-Sobolev空间中的均匀特征值问题
Homogeneous eigenvalue problems in Orlicz-Sobolev spaces
论文作者
论文摘要
在本文中，我们考虑了一个均质的特征值问题，该问题由分数$ g- $ laplacian操作员统治，其欧拉 - 拉格朗日方程是通过最小化涉及卢森堡规范的商来获得的。我们证明存在无限特征值的无限序列，并将其作为分数参数$ s \ uparrow 1 $的行为研究。
In this article we consider a homogeneous eigenvalue problem ruled by the fractional $g-$Laplacian operator whose Euler-Lagrange equation is obtained by minimization of a quotient involving Luxemburg norms. We prove existence of an infinite sequence of variational eigenvalues and study its behavior as the fractional parameter $s\uparrow 1$ among other stability results.
