Inflammation
发表于 2025-3-23 11:46:12
Non-degeneracy of the Local Minimizers,In this section we prove the non-degeneracy of the solutions to the one-phase problem (.). Our main result is the following.
混杂人
发表于 2025-3-23 16:34:20
Measure and Dimension of the Free Boundary,This chapter is dedicated to the measure theoretic structure of the free boundary . Ω.. The results presented here are mainly a consequence of the Lipschitz continuity and the non-degeneracy of the minimizer . (Theorem . and Proposition .).
改正
发表于 2025-3-23 20:54:50
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结合
发表于 2025-3-23 22:20:56
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竖琴
发表于 2025-3-24 05:08:26
The Weiss Monotonicity Formula and Its Consequences,This chapter is dedicated to the monotonicity formula for the boundary adjusted energy introduced by Weiss in [.]. Precisely, for every Λ ≥ 0 and every . ∈ ..(..).
杀死
发表于 2025-3-24 09:53:36
Dimension of the Singular Set,In this chapter, we prove Theorem .. As in the original work of Weiss (see [.]), we will use the so-called Federer’s dimension reduction principle, which first appeared in [.].
性上瘾
发表于 2025-3-24 14:14:38
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Ergots
发表于 2025-3-24 15:42:52
An Epiperimetric Inequality Approach to the Regularity of the One-Phase Free Boundaries,Throughout this section, we will use the notation . where .. is the unit ball in ., . ≥ 2 and . ∈ ..(..).
使迷惑
发表于 2025-3-24 19:42:02
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小丑
发表于 2025-3-25 03:02:51
978-3-031-13237-7The Editor(s) (if applicable) and The Author(s) 2023