Existence of ground states and free-boundary problems for by Conti M., Gazzola F.

By Conti M., Gazzola F.

Show description

Read or Download Existence of ground states and free-boundary problems for the prescribed mean-curvature equation PDF

Similar mathematics books

The Mathematics of Paul Erdos II (Algorithms and Combinatorics 14)

This is often the main complete survey of the mathematical lifetime of the mythical Paul Erd? s, some of the most flexible and prolific mathematicians of our time. For the 1st time, all of the major parts of Erd? s' examine are coated in one venture. as a result of overwhelming reaction from the mathematical group, the venture now occupies over 900 pages, prepared into volumes.

Extra info for Existence of ground states and free-boundary problems for the prescribed mean-curvature equation

Sample text

If H is empty, the lemma is trivial. If H has no vertices, we can create two vertices by a 0 → 2 move. Encircle each vertex of H by a closed curve: this set of n curves intersects H at most 4n times and decomposes S into n blocks of the first type and a surface S whose Euler characteristic is χ(S) − n. If H = H ∩ S contains parallel edges, we apply O(n) 0 → 2-moves in order to replace each set of parallel edges by a single edge branching only in the neighborhood of ∂S . Then we add one curve per component of ∂S in order to enclose all these trivalent vertices in annular regions.

GT/0411016. 16. S. King, ‘Polytopality of triangulations’, PhD Thesis, Universit´e Louis Pasteur, Strasbourg, June 2001. 17. R. Kirby and P. Melvin, ‘Evaluations of the 3-manifold invariants of Witten and Reshetikhin–Turaev for sl(2, C)’, Geometry of low-dimensional manifolds, 2, Durham, 1990 (ed. S. K. Donaldson and C. B. Thomas), London Mathematical Society Lecture Notes Series 151 (Cambridge University Press, Cambridge, 1990) 101–114. 18. R. Kirby and P. Melvin, ‘Local surgery formulas for quantum invariants and the Arf invariant’, Proceedings of the Casson Fest (ed.

References 1. J. F. Brock, ‘The Weil–Petersson metric and volumes of 3-dimensional hyperbolic convex cores’, J. Amer. Math. Soc. 16 (2003) 495–535. 744 FRANCESCO COSTANTINO AND DYLAN THURSTON 2. J. F. Brock, ‘Weil–Petersson translation distance and volumes of mapping tori’, Comm. Anal. Geom. 11 (2003) 987–999. 3. O. Burlet and G. de Rham, ‘Sur certaines applications g´en´eriques d’une vari´et´e close `a 3 dimensions dans le plan’, Enseign. Math. (2) 20 (1974) 275–292. 4. F. Costantino, ‘Shadows and branched shadows of 3 and 4-manifolds’, PhD Thesis, Scuola Normale Superiore, Pisa, Italy, May 2004.

Download PDF sample

Rated 4.56 of 5 – based on 44 votes