Minimization problems for Lipschitz functions via
viscosity solutions
Ann. Acad. Sci. Fenn. Math. Diss. No. 115 (1998),
(Ph.D. thesis)
The $\infty$-eigenvalue problem
(with Peter Lindqvist and Juan J. Manfredi)
Arch. Ration. Mech. Anal. 148 (1999), no. 2, 89--105.
On
the equivalence of viscosity solutions and weak solutions for a quasilinear
equation
(with Peter Lindqvist and Juan J. Manfredi)
SIAM J. Math. Anal. 33 (2001), no. 3, 699--717 .
Absolutely
minimizing Lipschitz extensions on a metric space
Ann. Acad. Sci. Fenn. Math. 27 (2002), no. 1, 57--67.
A theorem of Rado's
type for the solutions of a quasi-linear equation
(with Peter Lindqvist )
Math. Res. Lett. 11 (2004), no. 1, 31--34.
A tour of
the theory of absolutely minimizing functions
(with Gunnar
Aronsson and Michael G.
Crandall)
Bull. Amer. Math. Soc. 41 (2004), 439-505.
Removability of a level set for solutions of
quasilinear equations
(with Peter Lindqvist )
Comm. Partial Differential Equations, 30 (2005), no. 1-3, 305--321.
On the higher eigenvalues for the $\infty$-eigenvalue
problem
(with Peter Lindqvist )
Calc. Var. Partial Differential Equations, 23 (2005), no. 2, 169--192.
p-harmonic approximation of functions of least
gradient
Indiana Univ. Math. J.,
54 (2005), 1015--1029.
Quasiminima of the Lipschitz extension problem
Ann. Mat. Pura Appl., 186 (2007) 303-316.
Equivalence of AMLE, strong AMLE, and comparison with
cones in metric measure spaces
(with Nageswari Shanmugalingam)
Math. Nachr., 279, No. 9-10 (2006), 1083-1098.
On the evolution governed by the infinity Laplacian
(with Bernd
Kawohl)
Math. Ann. 335 (2006), no. 4, 819-851.
Hamilton-Jacobi
flows and characterization of solutions of Aronsson equations
(with Eero Saksman)
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 6 (2007), no. 1, 1-13.
Principal
eigenvalue of a very badly degenerate operator and applications
J. Differential Equations, 236 (2007) 532-550.
Large solutions for the infinity Laplacian
(with Julio D. Rossi)
Adv. Calc. Var. 1 (2008), no. 3, 271--289.
The $\infty$-Wasserstein distance: local solutions and existence of
optimal transport maps
(with
Thierry Champion
and
Luigi De Pascale)
SIAM J. Math. Anal. 40 (2008), 1-20.
Asymptotic behavior of viscosity solutions for a degenerate parabolic equation
associated with the infinity-Laplacian
(with Goro Akagi and Ryuji Kajikiya)
Math. Ann. 343 (2009), 921-953.
Pointwise decay for the solutions of degenerate
and singular parabolic equations
(with Peter Lindqvist )
Advances in Differential Equations, 14 (2009), no. 7-8, 663--684.