ANZIAM  J.  44 (2003), 409-430
On some noncoercive variational inequalities containing degenerate elliptic operators

Vy Khoi Le
  Department of Mathematics and Statistics
  University of Missouri-Rolla
  Rolla, MO 65409

We are concerned with the solvability of variational inequalities that contain degenerate elliptic operators. By using a recession approach, we find conditions on the boundary conditions such that the inequality has at least one solution. Existence results of Landesman-Lazer type for a nonsmooth inequality and a resonance problem for a weighted p-Laplacian are discussed in detail.
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