426 citations · 470 across the 24 of their papers we have counts for
4 papers · 1 filter
The Time Derivative in a Singular Parabolic Equation
Peter Lindqvist
We study the Evolutionary p-Laplace Equation in the singular case 1 < p < 2. We prove that a weak solution has a time derivative in Sobolev's sense and that the time derivative is…
A Remark on the Kelvin Transform for a Quasilinear Equation
Peter Lindqvist
The p-harmonic functions are preserved under reflections in spheres only if the exponent p > 1 is equal to the dimension of the underlying Euclidean space. In the linear case p = 2…
Perron's Method and Wiener's Theorem for a Nonlocal Equation
Erik Lindgren, Peter Lindqvist
We study the Dirichlet problem for non-homogeneous equations involving the fractional -Laplacian. We apply Perron's method and prove Wiener's resolutivity theorem.
On the Time Derivative in a Quasilinear Equation
Peter Lindqvist
The time derivative (in the sense of distributions) of the solutions to the Evolutionary p-Laplace Equation is proved to be a function in a local Lebesgue space.