The Jacobi-Toda system and foliated interfaces

DOI10.3934/dcds.2010.28.975zbMath1193.35057OpenAlexW2016006795MaRDI QIDQ983471

Michał Kowalczyk, Manuel A. del Pino, Wei, Juncheng

Publication date: 23 July 2010

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2010.28.975

zbMATH Keywords

Jacobi operatorToda systemconcentration phenomenamultiple transition layerspositive Gauss curvature

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (8)

On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains: clustering concentration layers ⋮ On the even solutions of the Toda system: a degree argument approach ⋮ Singular solutions of Toda system in high dimensions ⋮ Connectivity of boundaries by clustering phase transition layers of Fife-Greenlee problem on smooth bounded domain ⋮ Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds ⋮ Traveling Waves with Multiple and Nonconvex Fronts for a Bistable Semilinear Parabolic Equation ⋮ Clustering phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation ⋮ Stable and finite Morse index solutions of Toda system

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