An efficient derivation of the Aronsson equation

Archive for Rational Mechanics and Analysis

Volumn 167, Issue 4, 2003, Pages 271-279

  Crandall, Michael G ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038170019     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-002-0236-3     Document Type: Article

References (11)

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2. BARLES, G., BUSCA, J.: Existence and comparison results for fully nonlinear degenerate elliptic equations without zeroth-order term. Comm. Partial Diff. Equations 26, 2323-2337 (2001)
3. ∞ functional. Arch. Rational Mech. Anal. 157, 255-283 (2001)
4. p = f and related extremal problems. Rend. Sem. Mat. Univ. Politec. Torino, Fasciocolo Speciale, Nonlinear PDE's, 15-68 (1989)
5. CLARKE, F.H.: Methods of Dynamic and Nonsmooth Optimization, CBMS-NSF Regional Conference Series in Applied Mathematics, 57, (SIAM, Philadelphia, 1989)
6. CRANDALL, M.G., EVANS, L.C.: A remark on infinity harmonic functions. Electronic J. Differential Equations Conf. 6, 123-129 (2001)
7. CRANDALL, M.G., EVANS, L.C., GARIEPY, R.: Optimal Lipschitz Extensions and the Infinity Laplacian. Calc. Var. Partial Differential Equations 13, 123-139 (2001) 10.1007/s005260000065
8. CRANDALL, M.G., ZHANG, J.: Another way to say harmonic. Trans. Amer. Math. Soc. 355, 241-263 (2003)
9. JENSEN, R.: Uniqueness of Lipschitz extensions minimizing the sup-norm of the gradient. Arch. Rational Mech. Anal. 123, 51-74 (1993)
10. JUUTINEN, P.: Minimization problems for Lipschitz functions via viscosity solutions. Annales Academiae Scientiarum Fennicae, Mathematica, Dissertationes 115, 53pp (1998)
11. WU, Y.: Absolute minimizers in Finsler metrics, Ph.D. dissertation, UC Berkeley, 1995