Differential and Integral Equations
- Differential Integral Equations
- Volume 13, Number 4-6 (2000), 669-686.
Global positive solution branches of positone problems with nonlinear boundary conditions
In this paper we consider a class of semilinear elliptic boundary value problems with nonlinear boundary conditions. The continuation method or the implicit function theorem is used to prove the existence of smooth branches of positive solutions. The characterization of the branches, and the uniqueness and asymptotic behavior of positive solutions are also studied by using some comparison principles with semilinear elliptic boundary value problems with linear boundary conditions.
Differential Integral Equations, Volume 13, Number 4-6 (2000), 669-686.
First available in Project Euclid: 21 December 2012
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35J65: Nonlinear boundary value problems for linear elliptic equations
Secondary: 35B32: Bifurcation [See also 37Gxx, 37K50]
Umezu, Kenichiro. Global positive solution branches of positone problems with nonlinear boundary conditions. Differential Integral Equations 13 (2000), no. 4-6, 669--686. https://projecteuclid.org/euclid.die/1356061244