Tohoku Mathematical Journal
2009
September
SECOND SERIES VOL. 61, NO. 3

Tohoku Math. J.
61 (2009), 333-347

Title THE CHARACTERIZATION OF RIEMANNIAN METRIC ARISING FROM PHASE TRANSITION PROBLEMS

Author Mao-Sheng Chang, Shu-Cheng Lee and Chien-Chang Yen

(Received February 26, 2008, revised February 12, 2009)
Abstract. We present one property of the Riemannian metric which is derived from the positive power of potential functions. Then this property is applied to the study of the $\Gamma$-convergence of energy functionals which are associated with the Euler-Lagrange $p$-Laplacian equation.

2000 Mathematics Subject Classification. Primary 49J45.
Key words and phrases. Riemannian metric, $\Gamma$-convergence, functions of bounded variations.

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