4 papers · 1 filter
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…
Stability for the Infinity-Laplace Equation with variable exponent
Erik Lindgren, Peter Lindqvist
The stability for the viscosity solutions of a differential equation with a perturbation term added to the Infinity-Laplace Operator is studied. This is the so-called Infinity-Lapl…
Irregular Time Dependent Obstacles
Peter Lindqvist, Mikko Parviainen
We study the obstacle problem for the Evolutionary p-Laplace Equation when the obstacle is discontinuous and without regularity in the time variable. Two quite different procedures…
Hardy's Inequality from a Logarithmic Caccioppoli Estimate
Peter Lindqvist, Juan Manfredi
We give a simple proof of Hardy's inequality, based on the logarithmic Caccioppoli estimate for p-superharmonic functions in several variables.