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arXiv:1210.1397 [math.AP]AbstractReferencesReviewsResources

An Eigenvalue Problem with variable exponents

Giovanni Franzina, Peter Lindqvist

Published 2012-10-04Version 1

A highly nonlinear eigenvalue problem is studied in a Sobolev space with variable exponent. The Euler-Lagrange equation for the minimization of a Rayleigh quotient of two Luxemburg norms is derived. The asymptotic case with a "variable infinity" is treated. Local uniqueness is proved for the viscosity solutions.

Categories: math.AP
Subjects: 35J60, 35J92, 35P30
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