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.

引用

页码：2193 / 2221

页数：29

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