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math.AP2012
An Eigenvalue Problem with variable exponents
Giovanni Franzina, Peter Lindqvist
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…
math.AP2012
Fractional Eigenvalues
Erik Lindgren, Peter Lindqvist
We study a non-local eigenvalue problem related to the fractional Sobolev spaces for large values of p and derive the limit equation as p goes to infinity. Its viscosity solutions…