Results 41 to 50 of about 222 (76)

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

Infinitely many solutions for a class of hemivariational inequalities involving p(x)-Laplacian

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
In this paper hemivariational inequality with nonhomogeneous Neumann boundary condition is investigated. The existence of infinitely many small solutions involving a class of p(x) - Laplacian equation in a smooth bounded domain is established.
Fattahi Fariba, Alimohammady Mohsen
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

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

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

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

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