Multiple semiclassical states for singular magnetic nonlinear Schrödinger equations.
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 forced double pendulum equation
Multiple solutions to some singular nonlinear Schrödinger equations.
Multiplicity and stability of closed geodesics on Finsler 2-spheres
A survey of recent progress on the multiplicity and stability problems for closed geodesics on Finsler 2-spheres is given.
Multiplicity of positive and nodal solutions for nonhomogeneous elliptic problems in unbounded cylinder domains.
Multiplicity of positive solutions of nonlinear elliptic equations with critical sobolev exponent in some contractible domains.
Multiplicity of solutions for a class of elliptic systems in .
Multiplicity of solutions for gradient systems using Landesman-Lazer conditions.
Multiplicity results for nonlinear elliptic equations.
Multiplicity results for -sublinear -Laplacian problems involving indefinite eigenvalue problems via Morse theory.
Multiplicity results for the prescribed scalar curvature on low spheres
In this paper, we consider the problem of multiplicity of conformal metrics of prescribed scalar curvature on standard spheres . Under generic conditions we establish someMorse Inequalities at Infinity, which give a lower bound on the number of solutions to the above problem in terms of the total contribution of its critical points at Infinityto the difference of topology between the level sets of the associated Euler-Lagrange functional. As a by-product of our arguments we derive a new existence...
Neumann problems associated to nonhomogeneous differential operators in Orlicz–Sobolev spaces
We study a nonlinear Neumann boundary value problem associated to a nonhomogeneous differential operator. Taking into account the competition between the nonlinearity and the bifurcation parameter, we establish sufficient conditions for the existence of nontrivial solutions in a related Orlicz–Sobolev space.
Non-collision solutions for a second order singular hamiltonian system with weak force
Nonlinear eigenvalue problems
Nonlinear elliptic systems with exponential nonlinearities.