For small mass and nondegenerate signal maxima, the positivity region in this cell polarization free boundary problem converges to an ellipse with explicit equation.
Classification of global solutions to the obstacle problem in the plane
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On the shape of the positivity region for a free boundary problem describing cell polarization
For small mass and nondegenerate signal maxima, the positivity region in this cell polarization free boundary problem converges to an ellipse with explicit equation.