Masoud Bayrami

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math.AP2025

Non-minimizing Axially Symmetric Cavity Flow

Masoud Bayrami, Morteza Fotouhi, Parisa Vosooqnejad

Cavity flow problems in two dimensions, as well as in the axially symmetric three-dimensional case, have been extensively studied in the literature from a qualitative perspective.…

math.AP2023

Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the $p$ -Laplacian

Masoud Bayrami, Morteza Fotouhi, Henrik Shahgholian

For a given constant $λ > 0$ and a bounded Lipschitz domain $D \subset R^{n}$ ( $n \geq 2$ ), we establish that almost-minimizers of the functional $$ J(\mathbf{v}; D) = \int_D…

math.AP2023

Global minimizers of the two-phase Bernoulli problem with the $p$ -Laplace operator

Masoud Bayrami-Aminlouee, Morteza Fotouhi

In this paper, we study the classification of Lipschitz global solutions for a two-phase $p$ -Laplace Bernoulli problem. Specifically, we focus on the scenario where the \textit{int…

Non-minimizing Axially Symmetric Cavity Flow

Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the p-Laplacian

Global minimizers of the two-phase Bernoulli problem with the p-Laplace operator

Lipschitz regularity of a weakly coupled vectorial almost-minimizers for the $p$ -Laplacian

Global minimizers of the two-phase Bernoulli problem with the $p$ -Laplace operator