-
1
-
-
0034957494
-
On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property
-
Alberti, G., Ambrosio, L., Cabré, X.: On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property. Acta Appl. Math. 65, 9-33 (2001).
-
(2001)
Acta Appl. Math.
, vol.65
, pp. 9-33
-
-
Alberti, G.1
Ambrosio, L.2
Cabré, X.3
-
2
-
-
0032348822
-
Phase transition with the line-tension effect
-
Alberti, G., Bouchitté, G., Seppecher, S.: Phase transition with the line-tension effect. Arch. Rational Mech. Anal. 144, 1-46 (1998).
-
(1998)
Arch. Rational Mech. Anal.
, vol.144
, pp. 1-46
-
-
Alberti, G.1
Bouchitté, G.2
Seppecher, S.3
-
4
-
-
77955326615
-
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian
-
Cabré, X., Cinti, E.: Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian. Discrete Contin. Dyn. Syst. 28, 1179-1206 (2010).
-
(2010)
Discrete Contin. Dyn. Syst.
, vol.28
, pp. 1179-1206
-
-
Cabré, X.1
Cinti, E.2
-
5
-
-
84855603002
-
-
Preprint, arXiv: 1012. 0867
-
Cabré, X., Sire, Y.: Nonlinear equations for fractional Laplacians I: regularity, maximum principles, and Hamiltonian estimates. Preprint, arXiv: 1012. 0867.
-
Nonlinear equations for fractional Laplacians I: Regularity, maximum principles, and Hamiltonian estimates
-
-
Cabré, X.1
Sire, Y.2
-
6
-
-
84891903164
-
Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions
-
Preprint, arXiv: 1111. 0796
-
Cabré, X., Sire, Y.: Nonlinear equations for fractional Laplacians II: existence, uniqueness, and qualitative properties of solutions. To appear in Trans. Am. Math. Soc. Preprint, arXiv: 1111. 0796.
-
Trans. Am. Math. Soc
-
-
Cabré, X.1
Sire, Y.2
-
7
-
-
30544441113
-
Layer solutions in a halph-space for boundary reactions
-
Cabré, X., Solà-Morales, J.: Layer solutions in a halph-space for boundary reactions. Commun. Pure Appl. Math. 58, 1678-1732 (2005).
-
(2005)
Commun. Pure Appl. Math.
, vol.58
, pp. 1678-1732
-
-
Cabré, X.1
Solà-Morales, J.2
-
8
-
-
77954614758
-
Nonlocal minimal surfaces
-
Caffarelli, L., Roquejoffre, J.-M., Savin, O.: Nonlocal minimal surfaces. Commun. Pure Appl. Math. 63, 1111-1144 (2010).
-
(2010)
Commun. Pure Appl. Math.
, vol.63
, pp. 1111-1144
-
-
Caffarelli, L.1
Roquejoffre, J.-M.2
Savin, O.3
-
9
-
-
34548348805
-
An extension problem related to the fractional Laplacian
-
Caffarelli, L., Silvestre, L.: An extension problem related to the fractional Laplacian. Commun. Part. Diff. Eq. 32, 1245-1260 (2007).
-
(2007)
Commun. Part. Diff. Eq.
, vol.32
, pp. 1245-1260
-
-
Caffarelli, L.1
Silvestre, L.2
-
10
-
-
70350678828
-
Convergence of nonlocal threshold dynamics approximations to front propagation
-
Caffarelli, L., Souganidis, P. E.: Convergence of nonlocal threshold dynamics approximations to front propagation. Arch. Rational Mech. Anal. 195, 1-23 (2010).
-
(2010)
Arch. Rational Mech. Anal.
, vol.195
, pp. 1-23
-
-
Caffarelli, L.1
Souganidis, P.E.2
-
13
-
-
80054998436
-
On De Giorgi Conjecture in dimension N ≥ 9
-
del Pino, M., Kowalczyk, M., Wei, J.: On De Giorgi Conjecture in dimension N ≥ 9. Annal. Math. 174, 1485-1569 (2011).
-
(2011)
Annal. Math.
, vol.174
, pp. 1485-1569
-
-
del Pino, M.1
Kowalczyk, M.2
Wei, J.3
-
14
-
-
0003035995
-
The local regularity of solutions of degenerate elliptic equations
-
Fabes, E. B., Kenig, C. E., Serapioni, R. P.: The local regularity of solutions of degenerate elliptic equations. Commun. Partial Differ. Equ. 7, 77-116 (1982).
-
(1982)
Commun. Partial Differ. Equ.
, vol.7
, pp. 77-116
-
-
Fabes, E.B.1
Kenig, C.E.2
Serapioni, R.P.3
-
16
-
-
0032373311
-
On a conjecture of De Giorgi and some related problems
-
Ghoussoub, N., Gui, C.: On a conjecture of De Giorgi and some related problems. Math. Ann. 311, 481-491 (1998).
-
(1998)
Math. Ann.
, vol.311
, pp. 481-491
-
-
Ghoussoub, N.1
Gui, C.2
-
17
-
-
70350180632
-
Gamma convergence of an energy functional related to the fractional Laplacian
-
González, MdM: Gamma convergence of an energy functional related to the fractional Laplacian. Calc. Var. 36, 173-210 (2009).
-
(2009)
Calc. Var.
, vol.36
, pp. 173-210
-
-
González, M.M.1
-
19
-
-
12344253268
-
New Liouville theorems for linear second order degenerate elliptic equations in divergence form
-
Moschini, L.: New Liouville theorems for linear second order degenerate elliptic equations in divergence form. Ann. I. H. Poincaré 22, 11-23 (2005).
-
(2005)
Ann. I. H. Poincaré
, vol.22
, pp. 11-23
-
-
Moschini, L.1
-
22
-
-
84855181783
-
Local and global minimizers for a variational energy involving a fractional norm
-
doi: 10. 1007/s10231-011-0243-9
-
Palatucci, G., Savin, O., Valdinoci, E.: Local and global minimizers for a variational energy involving a fractional norm. Annali di Matematica Pura ed Applicata (2012). doi: 10. 1007/s10231-011-0243-9.
-
(2012)
Annali di Matematica Pura ed Applicata
-
-
Palatucci, G.1
Savin, O.2
Valdinoci, E.3
-
23
-
-
67249165287
-
Phase ransitions: regularity of flat level sets
-
Savin, O.: Phase ransitions: regularity of flat level sets. Ann. Math. 169, 41-78 (2009).
-
(2009)
Ann. Math.
, vol.169
, pp. 41-78
-
-
Savin, O.1
-
27
-
-
33751514593
-
Regularity of the obstacle problem for a fractional power of the Laplace operator
-
Silvestre, L.: Regularity of the obstacle problem for a fractional power of the Laplace operator. Commun. Pure Appl. Math. 60, 67-112 (2007).
-
(2007)
Commun. Pure Appl. Math.
, vol.60
, pp. 67-112
-
-
Silvestre, L.1
-
28
-
-
59849109073
-
Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result
-
Sire, Y., Valdinoci, E.: Fractional Laplacian phase transitions and boundary reactions: a geometric inequality and a symmetry result. J. Funct. Anal. 256, 1842-1864 (2009).
-
(2009)
J. Funct. Anal.
, vol.256
, pp. 1842-1864
-
-
Sire, Y.1
Valdinoci, E.2
-
29
-
-
77957945365
-
Extension problem and Harnack's inequality for some fractional operators
-
Stinga, P. R., Torrea, J. L.: Extension problem and Harnack's inequality for some fractional operators. Commun. Partial Differ. Equ. 35, 2092-2122 (2010).
-
(2010)
Commun. Partial Differ. Equ.
, vol.35
, pp. 2092-2122
-
-
Stinga, P.R.1
Torrea, J.L.2
|