Quasi-monotonicity formulas for classical obstacle problems with Sobolev coefficients and applications
Abstract
We establish Weiss' and Monneau's type quasi-monotonicity formulas for quadratic energies having matrix of coefficients in a Sobolev space W1,p, p>n, and provide an application to the corresponding free boundary analysis for the related classical obstacle problems.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.