Lyusternik-Schnirelman theory: complementary principles and the Morse index

DOI10.1016/0362-546X(88)90046-6zbMath0661.58008OpenAlexW2025434803MaRDI QIDQ3810561

Charles V. Coffman

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0362-546x(88)90046-6

zbMATH Keywords

critical pointsMorse indexnonlinear boundary value problemLyusternik-Schnirelman theory

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (11)

Selected new aspects of the calculus of variations in the large ⋮ Multiple solutions of boundary value problems: An elementary approach via the shooting method ⋮ Morse's oscillation theorem for a degenerate case ⋮ Topological characteristics of extremals of variational problems ⋮ A nodal solution of the scalar field equation at the second minimax level ⋮ Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities ⋮ Classification of Balanced Sets and Critical Points of Even Functions on Spheres ⋮ Existence of Hartree-Fock excited states for atoms and molecules ⋮ Morse indices at critical points related to the symmetric mountain pass theorem and applications ⋮ Nodal sets and Morse indices of solutions of super-linear elliptic PDEs ⋮ Solutions of Hartree-Fock equations for Coulomb systems

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