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math.AP2012★ 130 cited
Optimal Hardy Weight for Second-Order Elliptic Operator: An Answer to a Problem of Agmon
B. Devyver, M. Fraas, Y. Pinchover
For a general subcritical second-order elliptic operator in a domain (or noncompact manifold), we construct Hardy-weight which is optimal in the fol…
math.AP2010★ 2 cited
Isolated singularities of positive solutions of p-Laplacian type equations in R^d
Martin Fraas, Yehuda Pinchover
We study the behavior of positive solutions of p-Laplacian type elliptic equations of the form Q'(u) := -p-Laplacian(u) + V |u|^(p-2) u = 0 in Omega near an isolated singular point…
math.AP2010
Positive Liouville theorems and asymptotic behavior for p-Laplacian type elliptic equations with a Fuchsian potential
Martin Fraas, Yehuda Pinchover
We study positive Liouville theorems and the asymptotic behavior of positive solutions of p-Laplacian type elliptic equations of the form Q'(u):= - pLaplace(u) + V |u|^{p-2} u = 0…