Results 31 to 40 of about 183 (55)

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

Multiple solutions for a class of oscillatory discrete problems

Advances in Nonlinear Analysis, 2015
In this paper, we study a discrete nonlinear boundary value problem that involves a nonlinear term oscillating at infinity and a power-type nonlinearity up.
Mălin Maria
doaj   +1 more source

Regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in Banach spaces

Fixed Point Theory and Applications, 2011
We study the strong convergence of a regularization proximal point algorithm for finding a common fixed point of a finite family of nonexpansive mappings in a uniformly convex and uniformly smooth Banach space.
Tuyen Truong, Kim Jong
doaj  

Regularity for critical fractional Choquard equation with singular potential and its applications

Advances in Nonlinear Analysis
We study the following fractional Choquard equation (−Δ)su+u∣x∣θ=(Iα*F(u))f(u),x∈RN,{\left(-\Delta )}^{s}u+\frac{u}{{| x| }^{\theta }}=({I}_{\alpha }* F\left(u))f\left(u),\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N⩾3N\geqslant 3, s∈12,1s\in \left ...
Liu Senli, Yang Jie, Su Yu
doaj   +1 more source

Existence and multiplicity of solutions for a class of superlinear elliptic systems

Advances in Nonlinear Analysis, 2018
In this paper, we establish the existence and multiplicity of solutions for a class of superlinear elliptic systems without Ambrosetti and Rabinowitz growth condition. Our results are based on minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Wu Dong-Lun
doaj   +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

Multiplicity results for elliptic Kirchhoff-type problems

Advances in Nonlinear Analysis, 2017
The aim of this paper is to establish the existence of multiple solutions for a perturbed Kirchhoff-type problem depending on two real parameters. More precisely, we show that an appropriate oscillating behaviour of the nonlinear part, even under small ...
Baraket Sami, Molica Bisci Giovanni
doaj   +1 more source

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

Sign-Changing Solutions of Fractional 𝑝-Laplacian Problems

Advanced Nonlinear Studies, 2019
In this paper, we obtain the existence and multiplicity of sign-changing solutions of the fractional p-Laplacian problems by applying the method of invariant sets of descending flow and minimax theory.
Chang Xiaojun, Nie Zhaohu, Wang Zhi-Qiang   +2 more
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