Small perturbations for nonlinear Schrödinger equations with magnetic potential

DOI10.1007/s00032-020-00322-7zbMath1465.35366OpenAlexW3094776040MaRDI QIDQ2027289

Youpei Zhang, Vicenţiu D. Rădulescu, Xian Hua Tang

Publication date: 25 May 2021

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-020-00322-7

zbMATH Keywords

perturbationcompactnessmultiple solutionsconstrained minimizationmagnetic Laplace operatormagnetic Sobolev space

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace transform (44A10) Perturbations in context of PDEs (35B20) Topological and monotonicity methods applied to PDEs (35A16) PDE constrained optimization (numerical aspects) (49M41)

Related Items (13)

Ground state solution for a nonlinear fractional magnetic Schrödinger equation with indefinite potential ⋮ Degenerate fractional Kirchhoff-type system with magnetic fields and upper critical growth ⋮ Multiple solutions for singularly perturbed nonlinear magnetic Schrödinger equations ⋮ Multi-bump solutions for the nonlinear magnetic Choquard equation with deepening potential well ⋮ Groundstates and infinitely many solutions for the Schrödinger-Poisson equation with magnetic field ⋮ On the \(p\)-fractional Schrödinger-Kirchhoff equations with electromagnetic fields and the Hardy-Littlewood-Sobolev nonlinearity ⋮ Multiplicity and concentration of solutions for Kirchhoff equations with magnetic field ⋮ Concentration phenomena for nonlinear magnetic Schrödinger equations with critical growth ⋮ A multiplicity property for a class of Kirchhoff problems with magnetic potential ⋮ Concentration phenomena for magnetic Kirchhoff equations with critical growth ⋮ Large perturbations of a magnetic system with Stein-Weiss convolution nonlinearity ⋮ Ground state solutions of magnetic Schrödinger equations with exponential growth ⋮ Maz’ya–Shaposhnikova formula in magnetic fractional Orlicz–Sobolev spaces

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