Infinite-dimensional linking

DOI10.1215/S0012-7094-98-09423-6zbMath0953.58009OpenAlexW1970237198MaRDI QIDQ1974854

Schechter, Martin

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-98-09423-6

zbMATH Keywords

critical pointsstrongly indefinite functionalsjumping nonlinearitieslinkingsemilinear elliptic system

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05)

Related Items (7)

An infinite-dimensional linking theorem and applications ⋮ Linking in infinite dimensional spaces using the Leray-Schauder index ⋮ Noncooperative elliptic systems ⋮ Weak linking. ⋮ Critical point theory in infinite dimensional spaces using the Leray-Schauder index ⋮ On Schechter's linking theorems ⋮ Monotonicity methods for noncooperative elliptic systems

Cites Work

• Critical point theorems for indefinite functionals
• Semilinear boundary value problems of the strong resonance type
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Variational and topological methods in nonlinear problems
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
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