Infinitely many periodic solutions for second order Hamiltonian systems [PDF]
, 2011 In this paper, we study the existence of infinitely many periodic solutions for second order Hamiltonian systems $\ddot{u}+\nabla_u V(t,u)=0$, where $V(t, u)$ is either asymptotically quadratic or superquadratic as $|u|\to \infty$.Comment: to appear in ...
Liu, Chungen, Zhang, Qingye
core +1 more source
Iterative approximation of a solution of a general variational‐like inclusion in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 22, Page 1159-1168, 2004., 2004 We introduce a class of η‐accretive mappings in a real Banach space and show that the η‐proximal point mapping for η‐m‐accretive mapping is Lipschitz continuous. Further, we develop an iterative algorithm for a class of general variational‐like inclusions involving η‐accretive mappings in real Banach space, and discuss its convergence criteria.
C. E. Chidume, K. R. Kazmi, H. Zegeye
wiley +1 more source
Infinitely many periodic solutions for ordinary p-Laplacian systems
Advances in Nonlinear Analysis, 2015 Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
doaj +1 more source
On fractional logarithmic Schrödinger equations
Advanced Nonlinear Studies, 2022 We study the following fractional logarithmic Schrödinger equation: (−Δ)su+V(x)u=ulogu2,x∈RN,{\left(-\Delta )}^{s}u+V\left(x)u=u\log {u}^{2},\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥1N\ge 1, (−Δ)s{\left(-\Delta )}^{s} denotes the fractional Laplace ...
Li Qi, Peng Shuangjie, Shuai Wei
doaj +1 more source
Homoclinic standing waves in focussing DNLS equations --Variational approach via constrained optimization [PDF]
, 2011 We study focussing discrete nonlinear Schr\"{o}dinger equations and present a new variational existence proof for homoclinic standing waves (bright solitons).
A. Khare +30 more
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On the Fractional NLS Equation and the Effects of the Potential Well’s Topology
Advanced Nonlinear Studies, 2021 In this paper we consider the fractional nonlinear Schrödinger ...
Cingolani Silvia, Gallo Marco
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Advanced Nonlinear Studies, 2021 The aim of this paper is investigating the existence of one or more weak solutions of the coupled quasilinear elliptic system of gradient ...
Candela Anna Maria +2 more
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The parabolic-parabolic Keller-Segel system with critical diffusion as a gradient flow in $\RR^d$, $d \ge 3$ [PDF]
, 2012 It is known that, for the parabolic-elliptic Keller-Segel system with critical porous-medium diffusion in dimension $\RR^d$, $d \ge 3$ (also referred to as the quasilinear Smoluchowski-Poisson equation), there is a critical value of the chemotactic ...
Blanchet, Adrien, Laurençot, Philippe
core +5 more sources
Nash-type equilibria and periodic solutions to nonvariational systems
Advances in Nonlinear Analysis, 2014 The paper deals with variational properties of fixed points for contraction-type operators. Under suitable conditions, the unique fixed point of a vector-valued operator is a Nash-type equilibrium of the corresponding energy functionals. This is achieved
Precup Radu
doaj +1 more source
Existence of homoclinic solutions for a class of difference systems involving p-Laplacian
Advances in Differential Equations, 2014 By using the critical point theory, some existence criteria are established which guarantee that the difference p-Laplacian systems of the form Δ(|Δu(n−1)|p−2Δu(n−1))−a(n)|u(n)|q−pu(n)+∇W(n,u(n))=0 have at least one or infinitely many homoclinic ...
Qiongfen Zhang
semanticscholar +1 more source