Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 66, pp. 1-6.
Title: Existence of solutions to a superlinear p-Laplacian equation
Author: Shibo Liu (Academia Sinica, Beijing, China)
Abstract:
Using Morse theory, we establish the existence of
solutions to the equation
$-\Delta_p u = f(x,u)$
with Dirichlet boundary conditions.
We assume that $\int_0^s f(x,t)\,dt$ lies between
the first two eigenvalues of the p-Laplacian.
Submitted August 21, 2001. Published October 11, 2001.
Math Subject Classifications: 49J35, 35J65, 35B34.
Key Words:
p-Laplacian; critical group.