The characterization of Riemannian metric arising from phase transition problems
Mao-Sheng Chang, Shu-Cheng Lee, and Chien-Chang Yen
Source: Tohoku Math. J. (2) Volume 61, Number 3 (2009), 333-347.
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.
Primary Subjects: 49J45
Keywords: Riemannian metric; $\Gamma$-convergence; functions of bounded variations
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Permanent link to this document: http://projecteuclid.org/euclid.tmj/1255700198
Digital Object Identifier: doi:10.2748/tmj/1255700198
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