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Flat level set regularity of $p$-Laplace phase transitions
About this Title
Enrico Valdinoci, Berardino Sciunzi and Vasile Ovidiu Savin
Publication: Memoirs of the American Mathematical Society
Publication Year:
2006; Volume 182, Number 858
ISBNs: 978-0-8218-3910-2 (print); 978-1-4704-0462-8 (online)
DOI: https://doi.org/10.1090/memo/0858
MathSciNet review: 2228294
MSC: Primary 35J70; Secondary 35B65, 49J10, 58E30
Table of Contents
Chapters
- 1. Introduction
- 2. Modifications of the potential and of one-dimensional solutions
- 3. Geometry of the touching points
- 4. Measure theoretic results
- 5. Estimates on the measure of the projection of the contact set
- 6. Proof of Theorem 1.1
- 7. Proof of Theorem 1.2
- 8. Proof of Theorem 1.3
- 9. Proof of Theorem 1.4