By Malchiodi A., Wei J.

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Padilla and Y. Tonegawa, On the convergence of stable phase transitions, Comm. Pure Appl. Math. 51(1998), 551-579. [23] P. H. Rabinowitz and E. Stredulinsky, Mixed states for an Allen-Cahn type equation, I, Comm Pure Appl. Math. 56(2003), 1078-1134. [24] P. H. Rabinowitz and E. Stredulinsky, Mixed states for an Allen-Cahn type equation, II, Calc. Var. Partial Differential Equations 21(2004), 157-207. [25] P. Sternberg and K. Zumbrun, Connectivity of phase boundaries in strictly convex domains, Arch.

22] P. Padilla and Y. Tonegawa, On the convergence of stable phase transitions, Comm. Pure Appl. Math. 51(1998), 551-579. [23] P. H. Rabinowitz and E. Stredulinsky, Mixed states for an Allen-Cahn type equation, I, Comm Pure Appl. Math. 56(2003), 1078-1134. [24] P. H. Rabinowitz and E. Stredulinsky, Mixed states for an Allen-Cahn type equation, II, Calc. Var. Partial Differential Equations 21(2004), 157-207. [25] P. Sternberg and K. Zumbrun, Connectivity of phase boundaries in strictly convex domains, Arch.

2] S. Allen and J. W. Cahn, A microscopic theory for antiphase boundary motion and its application to antiphase domain coarsening, Acta. Metall. 27 (1979), 1084-1095. : Perturbation methods and semilinear elliptic problems on Rn , Progress in Math. 240, Birkh¨ auser, 2006. Ambrosetti, A. -M. Ni, Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres, Part I, Comm. Math. Phys. 235 (2003), 427-466. Ambrosetti, A. -M. Ni, Singularly perturbed elliptic equations with symmetry: existence of solutions concentrating on spheres, Part II, Indiana Univ.

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Boundary interface for the Allen-Cahn equation by Malchiodi A., Wei J.


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