Weak perturbations of the p-Laplacian
classification
🧮 math.AP
keywords
p-laplacianweakasymptoticcalculateconnectionconsidercoupledcoupling
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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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