A non-local semilinear eigenvalue problem

被引：7
|
作者：
Franzina, Giovanni [1 ]
Licheri, Danilo [2 ]
机构：
[1] CNR, Ist Applicaz Calcolo M Picone, Via Taurini 19, I-00185 Rome, Italy
[2] Univ Cagliari, Dipartimento Matemat & Informat, Via Osped 72, I-09124 Cagliari, Italy
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2022年 / 25卷 / 06期
基金：
瑞典研究理事会;
关键词：
Eigenvalues; Constrained critical points; Lane-Emden equation; ELLIPTIC-EQUATIONS;
D O I：
10.1007/s13540-022-00104-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that positive solutions of the fractional Lane-Emden equation with homogeneous Dirichlet boundary conditions satisfy pointwise estimates in terms of the best constant in Poincare's inequality on all open sets, and are isolated in L-1 on smooth bounded ones, whence we deduce the isolation of the first non-local semilinear eigenvalue.
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页码：2193 / 2221
页数：29
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