Published Paper
Inserted: 4 oct 2012
Last Updated: 5 dec 2013
Journal: Nonlinear Analysis
Volume: 85
Pages: 1-16
Year: 2013
Abstract:
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.
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