Communications on Pure and Applied Analysis: latest papers http://www.aimsciences.org/test_aims/journals/rss.jsp?journalID=3 Latest articles for selected journal http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14398 On a class of rotationally symmetric $p$-harmonic maps http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14398 2$ and $n\geq 2$, all rotationally symmetric $p$-harmonic maps from $\mathbb{R}^n$ to $\mathbb{H}^n$ have to blow up at a finite point, while all rotationally symmetric $p$-harmonic maps from $\mathbb{H}^n$ to $\mathbb{H}^n$ observe the trichotomy property, i.e. the map $y$ is the identity map, is bounded or blows up according as its initial value $y'(0)$ is equal to, less than or greater than one. Our sharp estimates imply and improve a number of existence and non-existence results of certain $p$-harmonic maps on noncompact manifolds. ]]> L. F. Cheung, C. K. Law and M. C. Leung Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14399 Multiple complex-valued solutions for the nonlinear Schrödinger equations involving magnetic potentials http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14399 0 (j=1,\ldots,N)$ is a real $C^1$ bounded function on $R^N$ and $V(|x|)>0$ is a real continuous electric potential. Under some decaying conditions of both electric and magnetic potentials which are given in section 1, we prove that the equation has multiple complex-valued solutions by applying the finite reduction method. ]]> Lu Gan and Weiming Liu Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14400 Almost reducibility of linear difference systems from a spectral point of view http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14400
In the above context, we provide an example of the concept of diagonally significant system, recently introduced by Pötzsche. This example plays an essential role in the demonstration of our results. ]]>
Álvaro Castañeda and Gonzalo Robledo Wed, 1 Nov 2017 08:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14401 The Green function for the Stokes system with measurable coefficients http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14401 Jongkeun Choi and Ki-Ahm Lee Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14402 Two- and multi-phase quadrature surfaces http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14402
Our approach is based on minimization of the corresponding two- and multi-phase functional and the use of its one-phase version as a barrier. We prove several results concerning existence, qualitative behavior, and regularity theory for solutions. A central result in our study states that three or more junction points do not appear. ]]>
Avetik Arakelyan, Henrik Shahgholian and Jyotshana V. Prajapat Wed, 1 Nov 2017 08:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14403 Sharp Strichartz estimates in spherical coordinates http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14403 Robert Schippa Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14404 Blow-up problem for semilinear heat equation with nonlinear nonlocal Neumann boundary condition http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14404 Alexander Gladkov Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14405 Multiplicity results for fractional systems crossing high eigenvalues http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14405 Fábio R. Pereira Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14406 Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14406 0$ is small enough. ]]> Nakao Hayashi, Chunhua Li and Pavel I. Naumkin Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14407 Multiple solutions for a fractional nonlinear Schrödinger equation with local potential http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14407 0,\quad &x\in R^N, \end{cases} \end{align} where $0 < \alpha < 1$, $N>2\alpha$, $\varepsilon>0$ is a small parameter, $V$ satisfies the local condition, and $f$ is superlinear and subcritical nonlinearity. We show that this equation has at least $cat_{M_{\delta}}(M)$ single spike solutions. ]]> Wulong Liu and Guowei Dai Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14408 Existence of traveling waves for a class of nonlocal nonlinear equations with bell shaped kernels http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14408 1$. Members of the class arise as mathematical models for the propagation of waves in a wide variety of situations. We assume that the kernel $\beta $ is a bell-shaped function satisfying some mild differentiability and growth conditions. Taking advantage of growth properties of bell-shaped functions, we give a simple proof for the existence of bell-shaped traveling wave solutions. ]]> A. Erkip and Abba I. Ramadan Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14409 A heteroclinic solution to a variational problem corresponding to FitzHugh-Nagumo type reaction-diffusion system with heterogeneity http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14409
Motivated by [5], we consider a variational problem corresponding to FHN type RD system which involves heterogeneity. We prove the existence of a heteroclinic solution to the problem under certain conditions on the heterogeneity. Moreover, we give some information about the location of the transitions. ]]>
Takashi Kajiwara Wed, 1 Nov 2017 08:00:00 GMT
http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14410 Multiple positive solutions for Kirchhoff type problems involving concave-convex nonlinearities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14410 Jia-Feng Liao, Yang Pu, Xiao-Feng Ke and Chun-Lei Tang Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14411 Boundary layer problem and quasineutral limit of compressible Euler-Poisson system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14411 Shu Wang and Chundi Liu Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14412 Existence and convexity of solutions of the fractional heat equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14412 Antonio Greco and Antonio Iannizzotto Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14413 Essential spectral singularities and the spectral expansion for the Hill operator http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14413 O. A. Veliev Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14414 Generalized Lorenz equations for acoustic-gravity waves in the atmosphere. Attractors dimension, convergence and homoclinic trajectories http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14414 G. A. Leonov Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14415 The focusing NLS on exterior domains in three dimensions http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14415 Kai Yang Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14416 Magnetic Laplacians of locally exact forms on the Sierpinski Gasket http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14416 Jessica Hyde, Daniel Kelleher, Jesse Moeller, Luke Rogers and Luis Seda Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14417 Limit cycle bifurcations of a piecewise smooth Hamiltonian system with a generalized heteroclinic loop through a cusp http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14417 Jihua Yang, Erli Zhang and Mei Liu Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14418 Dynamics of a class of ODEs via wavelets http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14418 Hildebrando M. Rodrigues, Tomás Caraballo and Marcio Gameiro Wed, 1 Nov 2017 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14419 Inertial manifolds for 1D reaction-diffusion-advection systems. Part I: Dirichlet and Neumann boundary conditions http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14419 Anna Kostianko and Sergey Zelik Wed, 1 Nov 2017 08:00:00 GMT