On some noncoercive variational inequalities containing degenerate elliptic operators
Vy Khoi Le · The ANZIAM Journal · 2003
Abstract 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 weightedp-Laplacian are discussed in detail.