Bump solutions for the mesoscopic Allen-Cahn equation in periodic media

DOI10.1007/s00526-010-0332-4zbMath1206.35119OpenAlexW2076521602WikidataQ115387546 ScholiaQ115387546MaRDI QIDQ618745

Enrico Valdinoci, Matteo Novaga

Publication date: 17 January 2011

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-010-0332-4

zbMATH Keywords

Euler-Lagrange equationdouble-well potentiallocal minimizer

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61)

Related Items (7)

Periodic solutions for the Allen-Cahn equation ⋮ Unbounded solutions for a periodic phase transition model ⋮ On the existence of multi-transition solutions for a class of elliptic systems ⋮ Volume-constrained minimizers for the prescribed curvature problem in periodic media ⋮ On a phase transition model ⋮ Minimizers for nonlocal perimeters of Minkowski type ⋮ Solutions of higher topological type for an Allen-Cahn model equation

Cites Work

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• Many Solutions of Elliptic Problems on Rⁿof Irrational Slope

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