On Some Noncoercive Variational Inequalities Containing Degenerate Elliptic Operators
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.
V. K. Le, "On Some Noncoercive Variational Inequalities Containing Degenerate Elliptic Operators," ANZIAM Journal, Cambridge University Press, Jan 2003.
The definitive version is available at https://doi.org/10.1017/S1446181100008117
Mathematics and Statistics
Article - Journal
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