Ning Qiao & Zhi-Qiang Wang
Abstract:
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.
Show me the PDF file (256), TEX file, and other files for this article.