The Leray-Schauder boundary condition in critical point theory

DOI10.1016/J.NA.2009.01.195zbMath1186.58012OpenAlexW2019429018MaRDI QIDQ923982

Radu Precup

Publication date: 24 July 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.01.195

zbMATH Keywords

critical pointpositive solutionelliptic problemmountain pass lemmaLeray-Schauder condition

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

Related Items (6)

Critical point theorems in cones and multiple positive solutions of elliptic problems ⋮ A critical point theorem in bounded convex sets and localization of Nash-type equilibria of nonvariational systems ⋮ TWO POSITIVE SOLUTIONS OF SOME SINGULAR BOUNDARY VALUE PROBLEMS ⋮ Two positive nontrivial solutions for a class of semilinear elliptic variational systems ⋮ Compression–Expansion Critical Point Theorems in Conical Shells ⋮ A Schechter type critical point result in annular conical domains of a Banach space and applications

Cites Work

• Critical point theory and Hamiltonian systems
• On the Palais-Smale condition for Hammerstein integral equations in Hilbert spaces.
• Dual variational methods in critical point theory and applications
• Remarks on finding critical points
• A Bounded Mountain Pass Lemma Without the (PS) Condition and Applications
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