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Catenoidal layers for the Allen-Cahn equation in bounded domains
(Springer, 2017)
This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation α2Δu + u(1 − u2) = 0 in a smooth bounded domain Ω ⊂ R3, with Neumann boundary condition and α > 0 a small parameter. These ...
Catenoidal Layers for the Allen-Cahn Equation in Bounded Domains
(2017)
This paper presents a new family of solutions to the singularly perturbed Allen-Cahn equation alpha(2)Delta u + u(1 - u(2)) = 0 in a smooth bounded domain Omega subset of R-3, with Neumann boundary condition and alpha > 0 ...
G2–instantons Over Asymptotically Cylindrical Manifolds
(Mathematical Sciences Publishers, 2015)