Ning Qiao & Zhi-Qiang Wang
We are concerned with the multiplicity of positive solutions for non-autonomous elliptic equations with Dirichlet and Neumann boundary conditions. Using Ljusternik-Schnirelmann theory, we show that the number of solutions is affected by the shape of the potential functions.
Submitted April 20, 1999. Published September 9, 1999.
Math Subject Classifications: 35J15
Key Words: Multiplicity of solutions, non-autonomous equations, Ljusternik-Schnirelmann category.
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