Nonradial solutions of nonlinear Neumann problems in radially symmetric domains
On a superlinear elliptic equation
Multi-bump type nodal solutions having a prescribed number of nodal domains : II
Positive bound states having prescribed symmetry for a class of nonlinear elliptic equations in RN
Multi-bump type nodal solutions having a prescribed number of nodal domains : I
On the Hénon equation : asymptotic profile of ground states, I
Standing waves for nonlinear Schrödinger equations with singular potentials
Periodic solutions of nth order delay Rayleigh equations
A priori bounds are established for periodic solutions of an nth order Rayleigh equation with delay. From these bounds, existence theorems for periodic solutions are established by means of Mawhin's continuation theorem.
Generalized inflations and null extensions
An inflation of an algebra is formed by adding a set of new elements to each element in the original or base algebra, with the stipulation that in forming products each new element behaves exactly like the element in the base algebra to which it is attached. Clarke and Monzo have defined the generalized inflation of a semigroup, in which a set of new elements is again added to each base element, but where the new elements are allowed to act like different elements of the base, depending on the context...
Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
For singularly perturbed Schrödinger equations with decaying potentials at infinity we construct semiclassical states of a critical frequency concentrating on spheres near zeroes of the potentials. The results generalize some recent work of Ambrosetti–Malchiodi–Ni [3] which gives solutions concentrating on spheres where the potential is positive. The solutions we obtain exhibit different behaviors from the ones given in [3].
Even periodic solutions of higher order duffing differential equations
By using Mawhin’s continuation theorem, the existence of even solutions with minimum positive period for a class of higher order nonlinear Duffing differential equations is studied.
Positive fixed point theorems arising from seeking steady states of neural networks
Biological systems are able to switch their neural systems into inhibitory states and it is therefore important to build mathematical models that can explain such phenomena. If we interpret such inhibitory modes as `positive' or `negative' steady states of neural networks, then we will need to find the corresponding fixed points. This paper shows positive fixed point theorems for a particular class of cellular neural networks whose neuron units are placed at the vertices of a regular polygon. The...
Ground states of nonlinear Schrödinger equations with potentials
Periodic solutions for a neutral functional differential equation with multiple variable lags
By means of the Krasnoselskii fixed piont theorem, periodic solutions are found for a neutral type delay differential system of the form
On some permutation polynomials over finite fields.
Promotion operator on rigged configurations of type .
Promotion and evacuation on standard Young tableaux of rectangle and staircase shape.
On polynomials of the form .
On critical points for noncoercive functionals and subharmonic solutions of some Hamiltonian systems.
Hardy inequalities with boundary terms.
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