Saara Sarsa

collaborators

3 papers

math.AP2024

Second order Sobolev regularity results for the generalized $p$ -parabolic equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

We study a general class of parabolic equations $u_{t} - ∣ D u ∣^{γ} (Δ u + (p - 2) Δ_{\infty}^{N} u) = 0,$ which can be highly degenerate or singular. This class contains as special cases…

math.AP2023

Local second order regularity of solutions to elliptic Orlicz-Laplace equation

Arttu Karppinen, Saara Sarsa

We consider Orlicz--Laplace equation $- d i v (\frac{φ ^{'} ( ∣\nabla u ∣ )}{∣\nabla u ∣} \nabla u) = f$ where $φ$ is an Orlicz function and either $f = 0$ or $f \in L^{\infty}$ . We prove local second…

math.AP2023

A systematic approach on the second order regularity of solutions to the general parabolic $p$ -Laplace equation

Yawen Feng, Mikko Parviainen, Saara Sarsa

We study a general form of a degenerate or singular parabolic equation $u_{t} - ∣ D u ∣^{γ} (Δ u + (p - 2) Δ_{\infty}^{N} u) = 0$ that generalizes both the standard parabolic $p$ -Laplace equa…

Second order Sobolev regularity results for the generalized p-parabolic equation

Local second order regularity of solutions to elliptic Orlicz-Laplace equation

A systematic approach on the second order regularity of solutions to the general parabolic p-Laplace equation

Second order Sobolev regularity results for the generalized $p$ -parabolic equation

A systematic approach on the second order regularity of solutions to the general parabolic $p$ -Laplace equation