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Weak perturbations of the p-Laplacian
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2015 (English)In: Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, E-ISSN 1432-0835, Vol. 53, no 3-4, 781-801 p.Article in journal (Refereed) Published
Abstract [en]

We consider the p-Laplacian in 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 and and discuss the connection with Sobolev interpolation inequalities.

Place, publisher, year, edition, pages
2015. Vol. 53, no 3-4, 781-801 p.
Keyword [en]
p-Laplacian, Weak coupling, Sobolev inequalities
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-168680DOI: 10.1007/s00526-014-0767-0ISI: 000354622200011Scopus ID: 2-s2.0-84943015517OAI: oai:DiVA.org:kth-168680DiVA: diva2:818526
Funder
Swedish Research Council
Note

QC 20150609

Available from: 2015-06-09 Created: 2015-06-08 Last updated: 2017-12-04Bibliographically approved

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