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arXiv · 1312.5191

Weak perturbations of the p-Laplacian

Tomas Ekholm·Rupert L. Frank·Hynek Kovarik
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Abstract

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 limit separately for p>d and p=d and discuss the connection with Sobolev interpolation inequalities.

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Tomas Ekholm, Rupert L. Frank, Hynek Kovarik. 2013-12-18. Weak perturbations of the p-Laplacian. https://doi.org/10.1007/s00526-014-0767-0

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