Existence and gap-bifurcation of multiple solutions to certain nonlinear eigenvalue problems

DOI10.1016/0362-546X(93)90128-FzbMath0793.47060OpenAlexW2047463038MaRDI QIDQ4275608

Hans-Peter Heinz

Publication date: 18 August 1994

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(93)90128-f

zbMATH Keywords

nonlinear Schrödinger equationspectral gapsCarathéodory function

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Variational problems in abstract bifurcation theory in infinite-dimensional spaces (58E07)

Related Items (6)

Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions ⋮ Bifurcation revisited along footprints of Jürgen Scheurle ⋮ Unbounded solution components for nonlinear Hill's equations ⋮ A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations ⋮ Infinitely many solutions of strongly indefinite semilinear elliptic systems ⋮ Minimax characterization of solutions for a semilinear elliptic equation with lack of compactness

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• Periodic solutions of Hamiltonian systems with superquadratic potential
• Lacunary bifurcation for operator equations and nonlinear boundary value problems on ℝ^N
• Solvability of nonlinear equations in spectral gaps of the linearization
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries

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