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=13727 Blowup time and blowup mechanism of small data solutions to general 2-D quasilinear wave equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13727 Bingbing Ding, Ingo Witt and Huicheng Yin Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13728 On the decay and stability of global solutions to the 3D inhomogeneous MHD system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13728 Junxiong Jia, Jigen Peng and Kexue Li Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13729 Dynamics of a nonlocal dispersal SIS epidemic model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13729 Fei-Ying Yang and Wan-Tong Li Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13730 $W^{1,p}$-estimates for elliptic equations with lower order terms http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13730 Byungsoo Kang and Hyunseok Kim Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13731 Infinitely many solutions for a class of perturbed elliptic equations with nonlocal operators http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13731 Liang Zhang, X. H. Tang and Yi Chen Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13732 On nonexistence of solutions to some nonlinear parabolic inequalities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13732 Olga Salieva Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13733 On weighted mixed-norm Sobolev estimates for some basic parabolic equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13733 Li Ping, Pablo Raúl Stinga and José Luis Torrea Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13734 $L^p$ boundedness for maximal functions associated with multi-linear pseudo-differential operators http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13734 Jiao Chen, Wei Dai and Guozhen Lu Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13735 Weighted Lorentz estimates for nondivergence linear elliptic equations with partially BMO coefficients http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13735 Junjie Zhang and Shenzhou Zheng Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13736 Tug-of-war games with varying probabilities and the normalized $p(x)$-Laplacian http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13736 Ángel Arroyo, Joonas Heino and Mikko Parviainen Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13737 Non-collapsing for a fully nonlinear inverse curvature flow http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13737 Yannan Liu and Hongjie Ju Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13738 Multiple positive standing wave solutions for Schrödinger equations with oscillating state-dependent potentials http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13738 Renata Bunoiu, Radu Precup and Csaba Varga Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13739 Equivalence of sharp Trudinger-Moser-Adams inequalities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13739 Nguyen Lam Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13740 Positive ground state solutions of a quadratically coupled Schrödinger system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13740 0$, and $\lambda(\Omega)$ is the first eigenvalue of $-\Delta$ with the Dirichlet boundary condition. The main difficulty to investigate this kind of equations is caused by the fact that all the quadratic nonlinearities, including the coupling terms, are of critical growth. By the methods used in [Zhenyu Guo, Positive ground state solutions of a nonlinearly coupled Schrödinger system with critical exponents in $\mathbb{R}^4$, J. Math. Anal. Appl., 430(2):950--970, 2015], the existence of positive ground state solutions of the system is established with more ingenious hypotheses. ]]> Zhanping Liang, Yuanmin Song and Fuyi Li Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13741 Boundary layer analysis from the Keller-Segel system to the aggregation system in one space dimension http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13741 Jiahang Che, Li Chen, Simone Göttlich, Anamika Pandey and Jing Wang Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13742 Global existence of solutions to an attraction-repulsion chemotaxis model with growth http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13742 Sainan Wu, Junping Shi and Boying Wu Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13743 Stabilizing blow up solutions to nonlinear Schrödinger equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13743 Laurent Di Menza and Olivier Goubet Mon, 1 May 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13744 Multiple positive solutions of a Sturm-Liouville boundary value problem with conflicting nonlinearities http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13744 0$, $a_{i}(x), b_{j}(x)$ are non-negative Lebesgue integrable functions defined in $\mathopen{[}0,L\mathclose{]}$, and the nonlinearities $g_{i}(s), k_{j}(s)$ are continuous, positive and satisfy suitable growth conditions, as to cover the classical superlinear equation $u''+a(x)u^{p}=0$, with $p>1$. When the positive parameters $\beta_{j}$ are sufficiently large, we prove the existence of at least $2^{m}-1$ positive solutions for the Sturm-Liouville boundary value problems associated with the equation. The proof is based on the Leray-Schauder topological degree for locally compact operators on open and possibly unbounded sets. Finally, we deal with radially symmetric positive solutions for the Dirichlet problems associated with elliptic PDEs. ]]> Guglielmo Feltrin Mon, 1 May 2017 20:00:00 GMT