Open Access
2009 The characterization of Riemannian metric arising from phase transition problems
Mao-Sheng Chang, Shu-Cheng Lee, Chien-Chang Yen
Tohoku Math. J. (2) 61(3): 333-347 (2009). DOI: 10.2748/tmj/1255700198

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.

Citation

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Mao-Sheng Chang. Shu-Cheng Lee. Chien-Chang Yen. "The characterization of Riemannian metric arising from phase transition problems." Tohoku Math. J. (2) 61 (3) 333 - 347, 2009. https://doi.org/10.2748/tmj/1255700198

Information

Published: 2009
First available in Project Euclid: 16 October 2009

zbMATH: 1188.49015
MathSciNet: MR2568258
Digital Object Identifier: 10.2748/tmj/1255700198

Subjects:
Primary: 49J45

Keywords: $\Gamma$-convergence , functions of bounded variations , Riemannian metric

Rights: Copyright © 2009 Tohoku University

Vol.61 • No. 3 • 2009
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