Differential and Integral Equations

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

Giuseppe Maria Coclite and Mario Michele Coclite

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Abstract

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

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

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060122

Mathematical Reviews number (MathSciNet)
MR2162987

Zentralblatt MATH identifier
1212.45013

Subjects
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]

Citation

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


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