Upper bound for the number of critical levels for nonlinear operators in Banach spaces of the type of second order nonlinear partial differential operators

DOI10.1016/0022-1236(72)90072-9zbMath0252.47072OpenAlexW2131925926MaRDI QIDQ2557464

Jiří Souček, Vladimír Souček, Svatopluk Fučik, Jindřich Nečas

Publication date: 1972

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(72)90072-9

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Estimates of eigenvalues in context of PDEs (35P15) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) General theory of partial differential operators (47F05)

Related Items (4)

On the spectrum of a nonlinear operator ⋮ Structures of sets of solutions to the Hartree-Fock equation ⋮ Krasnoselskiĭ's main bifurcation theorem ⋮ FINITENESS OF THE NUMBER OF CRITICAL VALUES OF THE HARTREE-FOCK ENERGY FUNCTIONAL LESS THAN A CONSTANT SMALLER THAN THE FIRST ENERGY THRESHOLD

Cites Work

• Infinite dimensional manifolds and nonlinear elliptic eigenvalue problems
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• LJUSTERNIK‐SCHNIRELMANN Theorem and Nonlinear Eigenvalue Problems
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