Advances in Differential Equations

Some nonlinear heterogeneous problems with nonlocal reaction term

F.J. Corrêa, M. Delgado, and A. Suárez

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Abstract

In this paper we analyze the existence, uniqueness or multiplicity and stability of positive solutions to some nonlinear heterogeneous problems with nonlocal reaction term and linear diffusion. We employ mainly bifurcation and sub-supersolutions methods.

Article information

Source
Adv. Differential Equations Volume 16, Number 7/8 (2011), 623-641.

Dates
First available in Project Euclid: 17 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355703200

Mathematical Reviews number (MathSciNet)
MR2829498

Zentralblatt MATH identifier
1233.35120

Subjects
Primary: 35K57: Reaction-diffusion equations 35B32: Bifurcation [See also 37Gxx, 37K50] 92B05: General biology and biomathematics

Citation

Corrêa, F.J.; Delgado, M.; Suárez, A. Some nonlinear heterogeneous problems with nonlocal reaction term. Adv. Differential Equations 16 (2011), no. 7/8, 623--641. https://projecteuclid.org/euclid.ade/1355703200.


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