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=14554 Convergence of exponential attractors for a time splitting approximation of the Caginalp phase-field system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14554 Narcisse Batangouna and Morgan Pierre Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14555 Unilateral global interval bifurcation for Kirchhoff type problems and its applications http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14555 0$ for $s\in\mathbb{R}^{+},$ and $f_{0}\in (0,\infty)$ and $f_{\infty}\in (0,\infty]$ or $f_{0}=\infty$ and $f_{\infty}\in [0,\infty],$ where $f_{0}= \lim_{|s| \rightarrow0} f(s)/s, f_{\infty}=\lim_{|s| \rightarrow+\infty} f(s)/s.$ We use unilateral global bifurcation techniques and the approximation of connected components to prove our main results. ]]> Wenguo Shen Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14556 A nonlinear eigenvalue problem with $p(x)$-growth and generalized Robin boundary value condition http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14556 Vicenţiu D. Rădulescu and Somayeh Saiedinezhad Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14557 Infinitely many solutions for generalized quasilinear Schrödinger equations with sign-changing potential http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14557 Hongxia Shi and Haibo Chen Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14558 Stochastic spatiotemporal diffusive predator-prey systems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14558 Guanqi Liu and Yuwen Wang Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14559 Liouville results for fully nonlinear integral elliptic equations in exterior domains http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14559 Hongxia Zhang and Ying Wang Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14560 Multiplicity of solutions to Kirchhoff type equations with critical Sobolev exponent http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14560 Peng Chen and Xiaochun Liu Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14561 The Riemann problem and the limit solutions as magnetic field vanishes to magnetogasdynamics for generalized Chaplygin gas http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14561 Jianjun Chen and Wancheng Sheng Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14562 Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14562 0$, where $\sigma(-\Delta+V)$ stands for the spectrum of $-\Delta +V$ and $f$ has the subcritical growth but higher than $\Gamma(x)|u|^{q-2}u$, however the nonlinearity $f(x,u)-\Gamma(x)|u|^{q-2}u$ may change sign. Although a Nehari-type monotonicity condition for the nonlinearity is not satisfied, we investigate the existence of ground state solutions being minimizers on the Nehari manifold. ]]> Bartosz Bieganowski and Jarosław Mederski Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14563 Stability of standing waves for a nonlinear Schrödinger equation under an external magnetic field http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14563 Alex H. Ardila Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14564 Time decay in dual-phase-lag thermoelasticity: Critical case http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14564 Zhuangyi Liu and Ramon Quintanilla Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14565 Higher order eigenvalues for non-local Schrödinger operators http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14565 0$ and $\alpha_1,\alpha_2\in (0,2),$ and let $c_3|x|^{\theta_1} \le V(x)\le c_4|x|^{\theta_2}$ for some constants $\theta_1,\theta_2, c_3,c_4>0$ and large $|x|$. Then the eigenvalues $\lambda_1\le \lambda_2\le\cdots \lambda_n\le \cdots $ of $-L+V$ satisfies the following two-side estimate: there exists a constant $C>1$ such that $$C n^{\frac{\theta_2\alpha_2}{d(\theta_2+\alpha_2)}}\ge \lambda_n \ge C^{-1} n^{\frac{\theta_1\alpha_1}{d(\theta_1+\alpha_1)}},\ \ n\ge 1.$$ When $\alpha_1$ is variable, a better lower bound estimate is derived. ]]> Niels Jacob and Feng-Yu Wang Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14566 Infinitely many blowing-up solutions for Yamabe-type problems on manifolds with boundary http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14566 Shaodong Wang Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14567 Nodal solutions for the Robin $p$-Laplacian plus an indefinite potential and a general reaction term http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14567 Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu and Dušan D. Repovš Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14568 Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14568 Luciano Abadías, Carlos Lizama and Marina Murillo-Arcila Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14569 On stability of functional differential equations with rapidly oscillating coefficients http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14569 Vitalii G. Kurbatov and Valentina I. Kuznetsova Mon, 1 Jan 2018 08:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14570 Inertial manifolds for 1D reaction-diffusion-advection systems. Part II: periodic boundary conditions http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=14570 Anna Kostianko and Sergey Zelik Mon, 1 Jan 2018 08:00:00 GMT