The ∞-eigenvalue problem

Archive for Rational Mechanics and Analysis

Volumn 148, Issue 2, 1999, Pages 89-105

  Juutinen, Petri ^a   Lindqvist, Peter ^b   Manfredi, Juan J ^c  

^a UNIVERSITY OF JYVÄSKYLÄ   (Finland)

^b NORWEGIAN UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Norway)

^c UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002534292     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002050050157     Document Type: Article

References (9)

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2. p = f and related extremal problems, Rendiconti del Sem. Mat., Fascicolo Speciale Non Linear PDE's, Univ. Torino (1989), 15-68.
3. M. CRANDALL, H. ISHII & P-L. LIONS, User's guide to viscosity solutions of second order partial differential equations, Bull. Amer. Math. Soc. 27 (1992), 1-67.
4. R. JENSEN, Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient, Arch. Rational Mech. Anal. 123 (1993), 51-74.
5. p-2u = 0, Proc. Amer. Math. Soc. 109 (1990), 157-164.
6. P. LINDQVIST & J. MANFREDI, The Harnack inequality for ∞-harmonic functions, Elec. J. Diff.Eqs. 5 (1995), 1-5.
7. P. LINDQVIST & J. MANFREDI, Note on ∞-harmonic functions, Revista Matemática de la Universidad Complutense de Madrid 10 (1997), 1-9.
8. P. JUUTINEN, Minimization problems for Lipschitz functions via viscosity solutions, Licenciate thesis, University of Jyväskylä (1996), 1-39.
9. S. SAKAGUCHI, Concavity properties of solutions to some degenerate quasilinear elliptic Dirichlet problems, Ann. Scuola Norm. Sup. Pisa, Serie IV, Classe de Scienze 14 (l987), 403-421.