Normalized Solutions to Strongly Indefinite Semilinear Equations

DOI10.1515/ans-2006-0212zbMath1229.35069OpenAlexW2122340939MaRDI QIDQ5479814

Boris Buffoni, Maria J. Esteban, Éric Séré

Publication date: 11 July 2006

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://basepub.dauphine.fr/handle/123456789/854

zbMATH Keywords

penalizationvariational methodsMorse indexnonlinear elliptic partial differential equationsnormalized solutionsindefinite functionals

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear elliptic equations (35J60) NLS equations (nonlinear Schrödinger equations) (35Q55) Schrödinger operator, Schrödinger equation (35J10) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities ⋮ Solutions of the multiconfiguration Dirac–Fock equations ⋮ Normalized ground states for the NLS equation with combined nonlinearities: the Sobolev critical case ⋮ Normalized solutions for the Klein-Gordon-Dirac system ⋮ Normalized ground states for the NLS equation with combined nonlinearities ⋮ Variational methods in relativistic quantum mechanics ⋮ A normalized solitary wave solution of the Maxwell-Dirac equations ⋮ A natural constraint approach to normalized solutions of nonlinear Schrödinger equations and systems ⋮ Ground State for the Relativistic One Electron Atom in a Self-Generated Electromagnetic Field ⋮ \(L^2\)-normalized solitary wave solutions of a nonlinear Dirac equation

This page was built for publication: Normalized Solutions to Strongly Indefinite Semilinear Equations