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20152023
most citedThe Constrained Krasnosel'skii Formula for Parabolic Differential Inclusions

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math.AP2022

Brezis--Kato Type Regularity Results for Higher Order Elliptic Operators

Jakub Siemianowski

We prove a Brezis--Kato regularity type results for solutions of the higher order nonlinear elliptic equation \[ L u = g(x,u)\qquad\text{in }Ω\] with an elliptic operator of $2…

math.AP2022

Magnetostatic levitation and two related linear PDEs in unbounded domains

Bartosz Bieganowski, Tomasz Cieślak, Jakub Siemianowski

We consider a problem occurring in a magnetostatic levitation. The problem leads to a linear PDE in a strip. In engineering literature a particular solution is obtained. Such a sol…