The mean curvature problem is an important class of problems in mathematics and physics. We consider the existence homoclinic solutions to a discrete partial problem, which tied solitons. Under assumptions that potential function unbounded nonlinear term superlinear at infinity, we obtain infinitely many this by means fountain theorem critical point theory. In end, example given illustrate appl...

We are concerned with the following quasilinear Choquard equation: [Formula: see text] where [Formula: see text], [Formula: see text] is the p-Laplacian operator, the potential function [Formula: see text] is continuous and [Formula: see text]. Here, [Formula: see text] is the Riesz potential of order [Formula: see text]. We study the existence of weak solutions for the problem above via the mo...

In this paper we study the multiplicity of solutions for a class of eigenvalue problems for hemivariational inequalities in strip-like domains. The first result is based on a recent abstract theorem of Marano and Motreanu, obtaining at least three distinct, axially symmetric solutions for certain eigenvalues. In the second result, a version of the fountain theorem of Bartsch which involves the ...

In this paper the Fountain theorem is employed to establish infinitely many solutions for the class of quasilinear Schrödinger equations −Lpu + V (x)|u|p−2u = λ|u|q−2u + μ|u|r−2u in R, where Lpu = (|u′|p−2u′)′ + (|(u2)′|p−2(u2)′)′u, λ, μ are real parameters, 1 < p <∞, 1 < q < p, r > 2p and the potential V (x) is nonnegative and satisfies a suitable integrability condition. AMS Subject Classific...

In this article, we study the existence of non-zero periodic solutions for Hamiltonian systems with impulsive conditions. By using a variational method and a variant fountain theorem, we obtain new criteria to guarantee that the system has at least one non-zero periodic solution or infinitely many non-zero periodic solutions. However, without impulses, there is no non-zero periodic solution for...

This paper is concerned with the existence result of a sequence infinitely many small energy solutions to fractional r(·)-Laplacian equations Kirchhoff–Schrödinger type concave–convex nonlinearities when convex term does not require Ambrosetti–Rabinowitz condition. The aim present paper, under suitable assumptions on nonlinear term, discuss multiplicity non-trivial by using dual fountain theore...

Reliable wireless broadcast with asynchronous data access based on fountain coding is investigated. We review the traditional problem formalisation for fountain codes operating on erasure channels, and we generalise the problem formalisation to more general channels. We introduce a novel type of rateless codes based on the Turbo Principle: the Turbo-Fountain. The Turbo-Fountain is able to consi...

Reliable wireless broadcast with asynchronous data access based on fountain coding is investigated. We review the traditional problem formalization for fountain codes operating on erasure channels and we generalize the problem formalization to arbitrary types of channels. We introduce a novel type of rateless codes based on the turbo principle: the Turbo-Fountain. The TurboFountain is able to c...

We are concerned with the study of existence and multiplicity solutions for Dirichlet boundary value problems, involving $ ( p( m ), \, q( ) )- equation nonlinearity is superlinear but does not fulfil Ambrossetti-Rabinowitz condition in framework Sobolev spaces variable exponents a complete manifold. The main results proved using mountain pass theorem Fountain Cerami sequences. Moreover, an exa...

An on-line fountain code is defined as a fountain code for which an optimal encoding strategy can be found efficiently given any instantaneous decoding state. This property is important for data distribution in practical networks. In this paper we formalize the problem of on-line fountain code construction, and propose new on-line fountain codes that outperform known ones in having factor 3-5 l...