The generalized logistic equation with indefinite weight driven by the square root of the Laplacian

被引：7

作者：

Marinelli, Alessio ^{[1
]}

Mugnai, Dimitri ^{[2
]}

机构：

[1] Univ Trento, Dept Math, I-38123 Povo, TN, Italy

[2] Univ Perugia, Dept Math & Comp Sci, I-06123 Perugia, Italy

来源：

NONLINEARITY | 2014年 / 27卷 / 09期

关键词：

indefinite potential; principal eigenfunction; nonlinear regularity; existence and multiplicity theorems; nonlinear maximum principle; FRACTIONAL DIFFUSION; POSITIVE SOLUTIONS;

D O I：

10.1088/0951-7715/27/9/2361

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider an elliptic problem driven by the square root of the negative Laplacian in the presence of a general logistic function having an indefinite weight. We prove a bifurcation result for the associated Dirichlet problem via regularity estimates of independent interest for when the weight belongs only to certain Lebesgue spaces.

引用

页码：2361 / 2376

页数：16

共 26 条

[1]

Adams R., 1985, Sobolev Spaces

[2] On a diffusive logistic equation [J].