Concentration at manifolds of arbitrary dimension for a singularly perturbed Neumann problem

DOI10.4171/RLM/469zbMath1223.35035OpenAlexW2062014581MaRDI QIDQ997576

Andrea Malchiodi, Fethi Mahmoudi

Publication date: 7 August 2007

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/469

zbMATH Keywords

Fourier analysisdifferential geometrylocal inversionsingularly perturbed elliptic problems

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Resonance in context of PDEs (35B34) Variational methods for second-order elliptic equations (35J20)

Related Items (5)

Concentration on minimal submanifolds for a singularly perturbed Neumann problem ⋮ On spikes concentrating on lines for a Neumann superlinear Ambrosetti-Prodi type problem ⋮ Concentration on submanifolds for an Ambrosetti-Prodi type problem ⋮ On the Ambrosetti-Malchiodi-Ni conjecture for general submanifolds ⋮ Solutions to the nonlinear Schrödinger equation carrying momentum along a curve

Cites Work

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• Multipeak solutions for a singularly perturbed Neumann problem
• Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
• Concentration on curves for nonlinear Schrödinger Equations
• On the Role of Mean Curvature in Some Singularly Perturbed Neumann Problems

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