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math.AP2014★ 2 cited
Hardy inequalities for p-Laplacians with Robin boundary conditions
Tomas Ekholm, Hynek Kovarik, Ari Laptev
In this paper we study the best constant in a Hardy inequality for the p-Laplace operator on convex domains with Robin boundary conditions. We show, in particular, that the best co…
math.AP2013★ 3 cited
Weak perturbations of the p-Laplacian
Tomas Ekholm, Rupert L. Frank, Hynek Kovarik
We consider the p-Laplacian in R^d perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling…