Electronic Journal of Differential Equations,
Conf. 10 (2002), pp. 257-265.

Title: Exact multiplicity of positive solutions to a superlinear problem

Author: Junping Shi (College of William and Mary, Williamsburg, VA, USA)
 
Abstract: 
We generalize previous uniqueness results on a semilinear elliptic
equation with zero Dirichlet boundary condition and superlinear,
subcritical nonlinearity. Our proof is based on a bifurcation
approach and a Pohozaev type integral identity, which greatly
simplifies the previous arguments.


Published February 28, 2003.
Math Subject Classifications: 35J65, 35J60, 35B32.
Key Words: Semilinear elliptic equations; exact multiplicity of solutions.