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math.AP2024
The Dirichlet Problem For the Logarithmic p-Laplacian
Bartłomiej Dyda, Sven Jarohs, Firoj Sk
We introduce and study the logarithmic -Laplacian , which emerges from the formal derivative of the fractional -Laplacian at . This operator is nonlo…
math.AP2024
Qualitative properties of free boundaries for the exterior Bernoulli problem for the half Laplacian
Sven Jarohs, Tadeusz Kulczycki, Paolo Salani
In this work, we study the asymptotic behavior of the free boundary of the solution to the exterior Bernoulli problem for the half Laplacian when the Bernoulli's gradient parameter…