The existence of principal eigenvalues for problems with indefinite weight function on ℝk-Reference-Cited by-同舟云学术

The existence of principal eigenvalues for problems with indefinite weight function on ℝk

Published:1993 Issue:3 Volume:123 Page:561-569
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Brown K. J.,Tertikas A.

Abstract

SynopsisWe investigate the existence of positive principal eigenvalues of the problem - ∆u(x) = λg(x)u(x) for x ∈ ℝk where the weight function g changes sign in ℝk and is negative for |x| sufficiently large.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference7 articles.

1. Elliptic Partial Differential Equations of Second Order

2. A selection-migration model in population genetics

3. Nonlinear scalar field equations, I existence of a ground state

4. On the Bifurcation of Radially Symmetric Steady-State Solutions Arising in Population Genetics

5. Existence and nonexistence of steady-state solutions for a selection-migration model in population genetics

Cited by 20 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Existence of positive and nonnegative eigenfunctions for a fourth order operator with definite and indefinite weights;Nonlinear Analysis: Real World Applications;2025-02

2. Liouville type result and long time behavior for Fisher-KPP equation with sign-changing and decaying potentials;Journal of Differential Equations;2020-05

3. Multiple perturbations of a singular eigenvalue problem;Nonlinear Analysis: Theory, Methods & Applications;2015-06

4. Criticality for Schrödinger type operators based on recurrent symmetric stable processes;Transactions of the American Mathematical Society;2015-04-03

5. Ground State for the Schrödinger Operator with the Weighted Hardy Potential;International Journal of Differential Equations;2011