An Eigenvalue Problem with variable exponents
Analysis of PDEs
2012-10-05 v1
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.
Keywords
Cite
@article{arxiv.1210.1397,
title = {An Eigenvalue Problem with variable exponents},
author = {Giovanni Franzina and Peter Lindqvist},
journal= {arXiv preprint arXiv:1210.1397},
year = {2012}
}