Jarkko Siltakoski

activity

20172022

collaborators

4 papers

math.AP2022

The bounded slope condition for parabolic equations with time-dependent integrands

Leah Schätzler, Jarkko Siltakoski

In this paper, we study the Cauchy-Dirichlet problem \begin{equation*} \left\{ \begin{array}{ll} \mbox{ $\partial_{t} u - div (D_{ξ} f (t, D u)) = 0$ } & \mbox{i…

math.AP2019

Equivalence between radial solutions of different non-homogeneous $p$ -Laplacian type equations

Jarkko Siltakoski

We study radial viscosity solutions to the equation \[ -\ |Du\ |^{q-2}Δ_{p}^{N}u=f(\ |x\ |)\quad\text{in }B_{R}\subset\mathbb{R}^{N}, \] where $f \in C [0, R)$ , $p, q \in (1, \infty)$ and…

math.AP2019

Equivalence of viscosity and weak solutions for a $p$ -parabolic equation

Jarkko Siltakoski

We study the relationship of viscosity and weak solutions to the equation \[ \smash{\partial_{t}u-Δ_{p}u=f(Du)} \] where $p > 1$ and $f \in C (R^{N})$ satisfies suitable assum…

math.AP2017

Equivalence of viscosity and weak solutions for the normalized $p (x)$ -Laplacian

Jarkko Siltakoski

We show that viscosity solutions to the normalized $p (x)$ -Laplace equation coincide with distributional weak solutions to the strong $p (x)$ -Laplace equation when $p$ is Lipschitz a…

The bounded slope condition for parabolic equations with time-dependent integrands

Equivalence between radial solutions of different non-homogeneous p-Laplacian type equations

Equivalence of viscosity and weak solutions for a p-parabolic equation

Equivalence of viscosity and weak solutions for the normalized p(x)-Laplacian

Equivalence between radial solutions of different non-homogeneous $p$ -Laplacian type equations

Equivalence of viscosity and weak solutions for a $p$ -parabolic equation

Equivalence of viscosity and weak solutions for the normalized $p (x)$ -Laplacian