On the Bernoulli free boundary problems for the half Laplacian and for the spectral half Laplacian
نویسندگان
چکیده
We study the exterior and interior Bernoulli problems for half Laplacian problem spectral Laplacian. concentrate on existence geometric properties of solutions. Our main results are following. For Laplacian, we show that under starshapedness assumptions data free domain is starshaped. convexity convex prove a Brunn–Minkowski inequality constant. use variational methods in combination with regularity viscosity solutions, whereas Beurling method based subsolutions.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-theory Methods & Applications
سال: 2022
ISSN: ['1873-5215', '0362-546X']
DOI: https://doi.org/10.1016/j.na.2022.112956