On the existence of escaping geodesics.
On the existence of free vibrations for a beam equation when the period is an irrational multiple of the length
The author examined non-zero -periodic (in time) solutions for a semilinear beam equation under the condition that the period is an irrational multiple of the length. It is shown that for a.e. (in the sense of the Lebesgue measure on ) the solutions do exist provided the right-hand side of the equation is sublinear.
On the Existence of Harmonic Diffeomorphisms Between Surfaces.
On the existence of multiple geodesics in static space-times
On the existence of periodic solutions of a semilinear wave equation with a superlinear forcing term
On the existence of positive solution for an elliptic equation of Kirchhoff type via Moser iteration method.
On the existence of solutions for impulsive Duffing dynamic equations on time scales with Dirichlet boundary conditions.
On the existence of solutions to a fourth-order quasilinear resonant problem.
On the genus of represenattion spheres.
On the Morse Complex.
On the Morse Number of Embedded and Non-Embedded Minimal Immersions Spanning Wires on the Boundary of Special Bodies in IR3.
On the mountain pass lemma
On the multiplicity of critical points for parameterized functionals on reflexive Banach spaces
Some general multiplicity results for critical points of parameterized functionals on reflexive Banach spaces are established. In particular, one of them improves some aspects of a recent result by B. Ricceri. Applications to boundary value problems are also given.
On the multiplicity of solutions for a fully nonlinear Emden-Fowler equation.
On the necessity of gaps
Recent papers have studied the existence of phase transition solutions for Allen–Cahn type equations. These solutions are either single or multi-transition spatial heteroclinics or homoclinics between simpler equilibrium states. A sufficient condition for the construction of the multitransition solutions is that there are gaps in the ordered set of single transition solutions. In this paper we explore the necessity of these gap conditions.
On the nonlinear elastic simply supported beam equation.
On the nonlinear Neumann problem at resonance with critical Sobolev nonlinearity
We consider the Neumann problem for the equation , u ∈ H¹(Ω), where Q is a positive and continuous coefficient on Ω̅ and λ is a parameter between two consecutive eigenvalues and . Applying a min-max principle based on topological linking we prove the existence of a solution.
On the spectrum of a nonlinear operator
On three-periodic trajectories of multi-dimensional dual billiards.
On -convergence for problems of jumping type.