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Construction of multidimensional spike-layers

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Publication:865279
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DOI10.3934/dcds.2006.14.187zbMath1220.35050OpenAlexW2013009979MaRDI QIDQ865279

Andrea Malchiodi

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.3934/dcds.2006.14.187


zbMATH Keywords

singularly perturbed problemconcentration phenomenamultidimensional spike-layers


Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)


Related Items (5)

Spike layer solutions for a singularly perturbed Neumann problem: variational construction without a nondegeneracy ⋮ Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres ⋮ A new type of solutions for a singularly perturbed elliptic Neumann problem ⋮ Perturbative techniques for the construction of spike-layers ⋮ Recent progresses in boundary layer theory




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