Multichain-type solutions for Hamiltonian systems.
Multiple closed orbits for singular conservative systems via geodesic theory
Multiple critical points for variational problems on partially ordered Hilbert spaces
Multiple critical points of perturbed symmetric strongly indefinite functionals
Multiple homoclinic orbits for a class of conservative systems
Multiple homoclinic solutions for a class of autonomous singular systems in R2
Multiple nodal solutions for some fourth-order boundary value problems via admissible invariant sets.
Multiple periodic solutions for a class of second-order nonlinear neutral delay equations.
Multiple periodic solutions to a class of second-order nonlinear mixed-type functional differential equations.
Multiple positive solutions for a critical quasilinear equation via Morse theory
Multiple positive solutions for a p-Laplace critical problem (p >1), via Morse theory
Multiple positive solutions for quasilinear elliptic problems with sign-changing nonlinearities.
Multiple semiclassical states for singular magnetic nonlinear Schrödinger equations.
Multiple solutions for a singular semilinear elliptic problems with critical exponent and symmetries.
Multiple solutions for nonlinear elliptic equations on Riemannian manifolds.
Multiple solutions for the -Laplace equation with nonlinear boundary conditions.
Multiple Solutions of Differential Equations Without the Palais-Smale Condition.
Multiple solutions of indefinite elliptic systems via a Galerkin-type Conley index theory
Let Ω be a bounded domain in with smooth boundary. Consider the following elliptic system: in Ω, in Ω, u = 0, v = 0 in ∂Ω. (ES) We assume that H is an even "-"-type Hamiltonian function whose first order partial derivatives satisfy appropriate growth conditions. We show that if (0,0) is a hyperbolic solution of (ES), then (ES) has at least 2|μ| nontrivial solutions, where μ = μ(0,0) is the renormalized Morse index of (0,0). This proves a conjecture by Angenent and van der Vorst.
Multiple solutions of supercritical elliptic problems in perturbed domains
Multiple solutions of the Dirichlet problem for harmonic maps from discs into 2-spheres.