Almgren-type monotonicity methods for the classification of behavior at corners of solutions to semilinear elliptic equations

Mathematics – Analysis of PDEs

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Scientific paper

A monotonicity approach to the study of the asymptotic behavior near corners
of solutions to semilinear elliptic equations in domains with a conical
boundary point is discussed. The presence of logarithms in the first term of
the asymptotic expansion is excluded for boundary profiles sufficiently close
to straight conical surfaces.

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