Results 41 to 50 of about 217 (73)

A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows [PDF]

, 2016
In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined on the space of positive Radon measure with varying masses.
Ambrosio L., De Giorgi E., Hellinger E., Kinderlehrer D., Kondratyev S., Léonard Monsaingeon, Mérigot Q., Thomas O. Gallouët   +7 more
core   +2 more sources

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

A gradient flow approach to a thin film approximation of the Muskat problem [PDF]

, 2011
A fully coupled system of two second-order parabolic degenerate equations arising as a thin film approximation to the Muskat problem is interpreted as a gradient flow for the 2-Wasserstein distance in the space of probability measures with finite second ...
Laurencot, Philippe, Matioc, Bogdan-Vasile   +1 more
core   +5 more sources

Stationary solutions for a generalized Kadomtsev-Petviashvili equation in bounded domain [PDF]

, 2012
In this work, we are mainly concerned with the existence of stationary solutions for the generalized Kadomtsev-Petviashvili equation in bounded domain in $\mathbb{R}^n$ \[\left\{\begin{aligned} &\frac{\partial^3}{\partial x^3}u(x,y)+\frac{\partial ...
Ding, Youzheng, Wei, Zhongli, Xu, Jiafa
core   +2 more sources

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

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

Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities

Advanced Nonlinear Studies
In this paper we study the following nonlinear fractional Hartree (or Choquard-Pekar) equation (−Δ)su+μu=(Iα*F(u))F′(u) inRN, ${\left(-{\Delta}\right)}^{s}u+\mu u=\left({I}_{\alpha }{\ast}F\left(u\right)\right){F}^{\prime }\left(u\right)\quad \text{in} {\
Cingolani Silvia, Gallo Marco, Tanaka Kazunaga   +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