Arttu Karppinen

activity

20192023

most citedThe weak Harnack inequality for unbounded supersolutions of equations with generalized Orlicz growth

41 citations · 42 across the 8 of their papers we have counts for

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2 papers · 1 filter

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★ 1 cited

A direct proof of existence of weak solutions to fully anisotropic and inhomogeneous elliptic problems

Iwona Chlebicka, Arttu Karppinen, Ying Li

We provide a direct proof of existence and uniqueness of weak solutions to a broad family of strongly nonlinear elliptic equations with lower order terms. The leading part of the o…