Electronic Journal of Differential Equations,
Vol. 1999(1999), No. 28, pp. 1-28.

Title: Multiplicity results for positive solutions to non-autonomous
       elliptic problems

Authors:  Ning Qiao (Utah State Univ., Logan, UT, USA)
  Zhi-Qiang Wang (Utah State Univ., Logan, UT, USA)
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.