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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)
MathSciNet review: 2228294
MSC: Primary 35J70; Secondary 35B65, 49J10, 58E30

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Table of Contents


  • 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