Minimizers of \(L^2\)-critical inhomogeneous variational problems with a spatially decaying nonlinearity in bounded domains

DOI10.12775/TMNA.2023.041MaRDI QIDQ6654795

Hongfei Zhang, Shu Zhang

Publication date: 20 December 2024

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

minimizerslocal uniqueness\(L^2\)-criticalconcentration behaviorspatially decaying nonlinear

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Applications of functional analysis in quantum physics (46N50) Variational methods for second-order elliptic equations (35J20) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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