An infinite-dimensional linking theorem and applications

DOI10.1016/J.JDE.2004.03.006zbMath1079.35036OpenAlexW2054559378MaRDI QIDQ596600

Wen Ming Zou, Schechter, Martin

Publication date: 10 August 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.03.006

zbMATH Keywords

infinitely many solutionsindefiniteinfinite-dimensional linking theorem elliptic systems

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods for elliptic systems (35J50) Real-valued functions on manifolds (58C05)

Related Items (3)

Existence and multiplicity of solutions for an elliptic system with nonlinear boundary conditions ⋮ An abstract linking theorem applied to indefinite problems via spectral properties ⋮ Some recent results in linking theory and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Periodic solutions of superquadratic Hamiltonian systems
• The existence of surfaces of constant mean curvature with free boundaries
• Critical point theorems for indefinite functionals
• Heteroclinic orbits for spatially periodic Hamiltonian systems
• On a class of nonlinear Schrödinger equations
• Existence and multiplicity of solutions for semilinear elliptic systems
• Double linking theorem and multiple solutions.
• Some remarks on a system of quasilinear elliptic equations
• On nonquadratic Hamiltonian elliptic systems
• Local conditions insuring bifurcation from the continuous spectrum
• Infinite-dimensional linking
• Differential systems with strongly indefinite variational structure
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• A Maximum Principle for an Elliptic System and Applications to Semilinear Problems
• Positive splutions of semilinear elliptic systems
• Existence and Uniquenss of Positive Solutions for Certain Quasilinear Elliptic Systems
• Bounded Palais-Smale mountain-pass sequences
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• On Superquadratic Elliptic Systems
• COMPUTATIONS OF THE COHOMOLOGY GROUPS WITH APPLICATIONS TO ASYMPTOTICALLY LINEAR BEAM EQUATIONS AND NONCOOPERATIVE ELLIPTIC SYSTEMS1*
• On Critical Point Theory for Indefinite Functionals in The Presence of Symmetries
• Homoclinic orbits for asymptotically linear Hamiltonian systems
• Existence for an elliptic system with nonlinear boundary conditions via fixed-point methods.

This page was built for publication: An infinite-dimensional linking theorem and applications