Flat level set regularity of p-Laplace phase transitions
著者
書誌事項
Flat level set regularity of p-Laplace phase transitions
（Memoirs of the American Mathematical Society, no. 858）
American Mathematical Society, c2006
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注記
"Volume 182, number 858 (second of 4 numbers)"
Bibliography: p. 143-144
内容説明・目次
内容説明
We prove a Harnack inequality for level sets of $p$-Laplace phase transition minimizers. In particular, if a level set is included in a flat cylinder, then, in the interior, it is included in a flatter one. The extension of a result conjectured by De Giorgi and recently proven by the third author for $p=2$ follows.
目次
Introduction Modifications of the potential and of one-dimensional solutions Geometry of the touching points Measure theoretic results Estimates on the measure of the projection of the contact set Proof of Theorem 1.1 Proof of Theorem 1.2 Proof of Theorem 1.3 Proof of Theorem 1.4 Appendix A. Proof of the measure theoretic results Appendix B. Summary of elementary lemmata Bibliography.
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