Tomas Ekholm: Weak perturbation of the p-Laplacian

Abstract We consider the p-Laplacian in Rd perturbed by a weakly coupled potential. We calculate the asymptotic expansions of the lowest eigenvalue of such an operator in the weak coupling limit separately for p > d and p = d and discuss the connection with Sobolev interpolation inequalities. This is a joint work with Hynek Kovarik and Rupert L Frank.