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We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a blow-up procedure which involves… Click to show full abstract
We study local asymptotics of solutions to fractional elliptic equations at boundary points, under some outer homogeneous Dirichlet boundary condition. Our analysis is based on a blow-up procedure which involves some Almgren type monotonicity formulæ and provides a classification of all possible homogeneity degrees of limiting entire profiles. As a consequence, we establish a strong unique continuation principle from boundary points.
Keywords:
strong unique;
elliptic equations;
fractional elliptic;
local asymptotics;
unique continuation
Journal Title: Advances in Mathematics
Year Published: 2022
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Journal Title: Advances in Mathematics
Year Published: 2022
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!