[PDF] Top 20 Infinitely Many Periodic Solutions for Variable Exponent Systems

... variable exponent problems, variable exponent problems are more complicated than constant exponent problems, and many results and methods for constant exponent problems ... See full document

... Until now, as the authors knows there are no results of infinitely many kinds appeared for system (1). In this article, we are going to give some sufficient conditions to ensure (1) has infinitely ... See full document

... of periodic solutions for ordinary p(t)-Laplacian system under the generalized Ambrosetti-Rabino- witz ...of infinitely many large energy solutions and small energy ...of ... See full document

... The assumption on the uniqueness of the solutions to Cauchy problems of (1.1) made in the proofs of the previous sections can be removed. In fact, Lemmas 2.3 and 2.4 guarantee the applicability of the ... See full document

... However, similarly to what was pointed in [], (F ) does not hold if T t= f (t) is bounded. Therefore, it is necessary to improve condition (F ). Inspired by [, , ], in this paper, we will use minmax methods to ... See full document

... In fact, there are only a few results [–] of (.). In [], the authors studied a special case (B = , zero matrix) and obtained the existence and multiplicity of periodic solutions. Re- cently, Chen [] ... See full document

... Jiang, Q, Tang, C: Periodic and subharmonic solutions of a class of subquadratic second-order Hamiltonian systems. Wang, Z, Zhang, J: Periodic solutions of a class of second order non-au[r] ... See full document

... of periodic solutions and ho- moclinic solutions for second-order Hamiltonian systems have been intensively studied in many recent papers via variational methods; see [–] and ... See full document

... Equation (.) is a doubly degenerate parabolic equation with delay and nonlocal term, which models diffusive periodic phenomena in physics and mathematical biology. In bi- ology, it arises from population model, ... See full document

... of solutions for prescribed variable exponent mean curvature impulsive system, with periodic-like, Dirichlet, and Neumann boundary value conditions, ...of solutions are ... See full document

... On the p(x)-Laplacian problems, maybe the first eigenvalue and the first eigenfunc- tion of p(x)-Laplacian do not exist. Even if the first eigenfunction of p(x)-Laplacian exist, because of the nonhomogeneity of ... See full document

... Schrödinger–Poisson systems like (1.1) on the existence of nontrivial solutions, positive solutions, ground states, semi-classical states, and multiple solutions; we refer to [1–3, 6, 9, ... See full document

... infinitely many geometrically distinct solutions under different ...semiclassical solutions’ problem, we refer the readers to [, , , ] and the references ... See full document

... been many approaches to studying a nonlinear eigenvalue differential equation as it arises in physics problems, such as nonlinear elasticity theory, and mechanics, and engineering ...an infinitely ... See full document

... non-negative functions. The function f (x,u) is superlinear. Under appropriate assumptions on V (x), K(x), and g(u), we prove the existence and multiplicity of nontrivial solutions by the variant fountain theorem ... See full document

... Finally, all the assumptions of Lemma . are satisfied. Hence, the problem (.) possesses infinitely many weak solutions, and the corresponding critical values are positive. Remark . Under the same ... See full document

... in many pa- pers, see for instance Strauss [20], Bartsch and Willem [3, 4], Bartsch and Wang [2], and in the monographs of Kavian [8], Struwe [21], and Willem ... See full document

... of solutions for the hemivariational inequality problems involving a local Laplace or p-Laplace type operator has attracted the interest of many authors in the past thirty years, see for instance [17–22] ... See full document

... Precisely, under appropriate hypotheses on the behavior of the nonlinear term F at infinity, the existence of an interval Λ such that, for each l Î Λ , the system (1) admits a sequence of pairwise distinct weak ... See full document

... In this paper we are interested in multiplicity results for a nonlinear Dirichlet boundary value problem subject to perturbations of impulsive terms. The study of the problem is based on the variational methods and ... See full document