Junping Shi, Ratnasingham Shivaji
Abstract:
The uniqueness of positive solution of a semilinear cooperative Hamiltonian
elliptic system with two equations is proved for the case of sublinear
and superlinear nonlinearities. Implicit function theorem, bifurcation theory,
and ordinary differential equation techniques are used in the proof.
Published March 21, 2016.
Math Subject Classifications: 35J66, 35B32.
Key Words: Uniqueness; semilinear elliptic equations.
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Junping Shi Department of Mathematics College of William and Mary Williamsburg, VA 23187-8795, USA email: shij@math.wm.edu | |
Ratnasingham Shivaji Department of Mathematics & Statistics University of North Carolina at Greensboro Greensboro, NC 27412, USA email: shivaji@uncg.edu |
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