Differential and Integral Equations

Positive solutions for an integro-differential equation with singular nonlinear term

Giuseppe Maria Coclite and Mario Michele Coclite

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


The existence of a positive solution in a weighted Sobolev space for a homogeneous semilinear elliptic integro-differential Dirichlet problem is proved. The integral operator of the equation depends on a nonlinear function with a singularity at the origin.

Article information

Differential Integral Equations, Volume 18, Number 9 (2005), 1055-1080.

First available in Project Euclid: 21 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K55: Nonlinear parabolic equations
Secondary: 35J25: Boundary value problems for second-order elliptic equations 35J60: Nonlinear elliptic equations 45K05: Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20]


Coclite, Giuseppe Maria; Coclite, Mario Michele. Positive solutions for an integro-differential equation with singular nonlinear term. Differential Integral Equations 18 (2005), no. 9, 1055--1080. https://projecteuclid.org/euclid.die/1356060122

Export citation