p-Energy and p-Harmonic Functions on Sierpinski Gasket Type Fractals

Potential Analysis

Volumn 20, Issue 2, 2003, Pages 125-148

  Herman, P Edward ^a   Peirone, Roberto ^b   Strichartz, Robert S ^c  

^a UNIVERSITY OF CHICAGO   (United States)

^b UNIVERSITY OF ROME TOR VERGATA   (Italy)

^c Cornell University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1642459141     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026377524793     Document Type: Article

References (10)

1. Jonsson, A.: 'Brownian motion on fractals and function spaces', Math. Z. 222 (1996), 495-504.
2. Kigami, J.: Analysis on Fractals, Cambridge Univ. Press, 2001.
3. Kigami, J., Strichartz R. and Walker, K.: 'Constructing a Laplacian on the diamond fractal', Experiment. Math. 10 (2001), 437-448.
4. Lindstrom, T.: 'Brownian motion on nested fractals', Mem. Amer. Math. Soc. 420 (1989).
5. Metz, V.: 'Hilbert projective metric on cones of Dirichlet forms', J. Funct. Anal. 127 (1995), 438-455.
6. Metz, V.: 'Renormalization contracts on nested fractals', J. Reine Angew. Math. 480 (1996), 161-175.
7. Peirone, R.: 'Convergence and uniqueness problems for Dirichlet forms on fractals', Boll. Un. Mat. Ital. (8) 3-B (2000), 431-460.
8. Sabot, C.: 'Existence and uniqueness of diffusions on finitely ramified self-similar fractals', Ann. Sci. École Norm. Sup. (4) 30 (1997), 605-673.
9. Strichartz, R.: 'Function spaces on fractals', J. Funct. Anal. (to appear).
10. Strichartz, R. and Wong, C.: 'The p-Laplacian on the Sierpinski gasket', in preparation.