Results 51 to 60 of about 222 (73)

On the Dynamics of solitons in the nonlinear Schroedinger equation

, 2011
We study the behavior of the soliton solutions of the equation i((\partial{\psi})/(\partialt))=-(1/(2m)){\Delta}{\psi}+(1/2)W_{{\epsilon}}'({\psi})+V(x){\psi} where W_{{\epsilon}}' is a suitable nonlinear term which is singular for {\epsilon}=0.
A. Selvitella, Anna Maria Micheletti, D. Bambusi, E. Montefusco, H. Berestycki, J. Bellazzini, J. Bellazzini, J. Fröhlich, J. Fröhlich, J. Ginibre, J. Ginibre, J.C. Bronski, M. Grillakis, M. Grillakis, M. Squassina, M. Struwe, M.I. Weinstein, M.I. Weinstein, Marco Ghimenti, P.-L. Lions, P.-L. Lions, R. Servadei, S. Keraani, S. Keraani, T. Cazenave, V. Benci, V. Benci, V. Benci, Vieri Benci, W. Schlag, W.A. Strauss, W.K. Abou Salem, W.K. Abou Salem, W.K. Abou Salem, Z. Gang   +34 more
core   +1 more source

ITERATIVE APPROXIMATION OF SOLUTION OF GENERALIZED MIXED SET-VALUED VARIATIONAL INEQUALITY PROBLEM

, 2007
In this paper, we consider a generalizedmixed set-valued variational inequality problem which includes many important known variational inequality problems and equilibrium problem, and its related some auxiliary variational inequality problems.
K. Kazmi, A. Khaliq, A. Raouf
semanticscholar   +1 more source

Strong convergence of three-step iteration methods for a countable family of generalized strict pseudocontractions in Hilbert spaces

Fixed Point Theory and Applications, 2014
In this paper, we introduce a new class of generalized strict pseudocontractions in a real Hilbert space, and we consider a three-step Ishikawa-type iteration method {zn=(1−γn)xn+γnTnxn,yn=(1−βn)xn+βnTnzn,xn+1=(1−αn)xn+αnTnyn, for finding a common fixed ...
Shi-Xiu Li, L. Ceng, Huiying Hu, Xiao-Jie Wang   +3 more
semanticscholar   +1 more source

Hylomorphic solitons on lattices

, 2010
This paper is devoted to prove the existence of solitons on lattices. We are interested in solitary waves and solitons whose existence is related to the ratio energy/charge. These solitary waves are called hylomorphic.
Benci, Vieri, Fortunato, Donato
core   +1 more source

On existence and multiplicity of solutions for a biharmonic problem with weights via Ricceri's theorem

Demonstratio Mathematica
In this work, we consider a special nondegenerate equation with two weights. We investigate multiplicity result of this biharmonic equation. Mainly, our purpose is to obtain this result using an alternative Ricceri’s theorem.
Unal Cihan
doaj   +1 more source

Dynamical systems and forward-backward algorithms associated with the sum of a convex subdifferential and a monotone cocoercive operator

, 2014
In a Hilbert framework, we introduce continuous and discrete dynamical systems which aim at solving inclusions governed by structured monotone operators $A=\partial\Phi+B$, where $\partial\Phi$ is the subdifferential of a convex lower semicontinuous ...
Abbas, Boushra, Attouch, Hedy
core   +1 more source

Properties of minimizers for L2-subcritical Kirchhoff energy functionals

Advances in Nonlinear Analysis
We consider the properties of minimizers for the following constraint minimization problem: i(c)≔infu∈S1Ic(u),i\left(c):= \mathop{\inf }\limits_{u\in {S}_{1}}{I}_{c}\left(u), where the L2{L}^{2}-unite sphere S1={u∈H1(RN)∣∫RNV(x)u2dxc˜pp∈0,4Nc\gt ...
Guo Helin, Zhao Lingling
doaj   +1 more source

Lagrangian systems with Lipschitz obstacle on manifolds [PDF]

, 2006
Lagrangian systems constrained on the closure of an open subset with Lipschitz boundary in a manifold are considered.
Lancelotti, Sergio, Marzocchi, M.
core  

Unimodal wave trains and solitons in convex FPU chains

, 2009
We consider atomic chains with nearest neighbour interactions and study periodic and homoclinic travelling waves which are called wave trains and solitons, respectively.
Herrmann, Michael
core   +2 more sources

Existence results for non-coercive problems

Advances in Nonlinear Analysis
In this article, we investigate non-coercive variational equations under assumptions related to generalized monotonicity. We present some general abstract tools regarding the existence of bounded solutions and their multiplicity, which we then apply to ...
Diblík Josef, Galewski Marek, Šmarda Zdenĕk   +2 more
doaj   +1 more source