Using Morse theory, we establish the existence of solutions to the equation
with Dirichlet boundary conditions. We assume that 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.
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|Shibo Liu |
Institute of Mathematics
Academy of Mathematics and Systems Sciences
Beijing, 100080, P. R. China
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