Asymptotic behavior of Allen–Cahn-type energies and Neumann eigenvalues via inner variations

Author:

Le Nam Q.,Sternberg Peter J.ORCID

Funder

National Science Foundation

Simons Foundation

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference37 articles.

1. Allen, S., Cahn, J.W.: A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening. Acta Metall. 27, 1084–1095 (1979)

2. Braides, A.: $$\varGamma $$-Convergence for Beginners. Oxford Lecture Series in Mathematics and Its Applications, vol. 22. Oxford University Press, Oxford (2002)

3. Choksi, R., Sternberg, P.: On the first and second variations of a nonlocal isoperimetric problem. J. Reine Angew. Math. 611, 75–108 (2007)

4. Courant, R., Hilbert, D.: Methods of Mathematical Physics, vol. I. Interscience, New York (1953)

5. Dal Maso, G.: An Introduction to $$\varGamma $$-Convergence. Progress in Nonlinear Differential Equations and Their Applications, vol. 8. Birkhäuser, Boston (1993)

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2. On upper semicontinuity of the Allen–Cahn twisted eigenvalues;Asymptotic Analysis;2021-12-29

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