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=13907 Traveling waves in a three species competition-cooperation system http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13907 Xiaojie Hou and Yi Li Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13908 Radial symmetry results for Bessel potential integral equations in exterior domains and in annular domains http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13908 Xiaotao Huang and Lihe Wang Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13909 Existence of multiple solutions for a semilinear problem and a counterexample by E. N. Dancer http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13909 P) with $f$ independent of $x$ and satisfying the assumptions in [12] has at least six, and generically seven solutions. Under more stringent conditions on the non-linearity, we prove that there are up to nine solutions. Importantly, we do not assume any symmetry on $f$ for any of our results. ]]> Alfonso Castro and Guillermo Reyes Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13910 Nonlinear Dirichlet problems with double resonance http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13910 2$) and a Laplacian and which at $\pm\infty$ is resonant with respect to the spectrum of $\left( -\triangle_{p},W_{0}^{1,p}\left( \Omega\right) \right) $ and at zero is resonant with respect to the spectrum of $\left( -\triangle,H_{0}^{1}\left( \Omega\right) \right) $ (double resonance). We prove two multiplicity theorems providing three and four nontrivial solutions respectivelly, all with sign information. Our approach uses critical point theory together with truncation and comparison techniques and Morse theory. ]]> Sergiu Aizicovici, Nikolaos S. Papageorgiou and V. Staicu Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13951 Existence, nonexistence and uniqueness of positive solutions for nonlinear eigenvalue problems http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13951 0$ is the parameter and $\widehat{\lambda}_1$ being the principal eigenvalue of $\left(-\Delta_p, W^{1,p}_0(\Omega)\right)$ - we have positive solutions, while for $\lambda\geq \widehat{\lambda}_1$, no positive solutions exist. In the ``sublinear case" the positive solution is unique under a suitable monotonicity condition, while in the ``superlinear case" we produce the existence of a smallest positive solution. Finally, we point out an existence result of a positive solution without requiring asymptotic condition at $+\infty$, provided that the perturbation is damped by a parameter. ]]> Gabriele Bonanno, Pasquale Candito, Roberto Livrea and Nikolaos S. Papageorgiou Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13912 A critical exponent of Joseph-Lundgren type for an Hénon equation on the hyperbolic space http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13912 Shoichi Hasegawa Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13913 Favard theory and Fredholm Alternative for disconjugate recurrent second order equations http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13913 Juan Campos, Rafael Obaya and Massimo Tarallo Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13914 Regularity of the global attractor for a nonlinear Schrödinger equation with a point defect http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13914 Wided Kechiche Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13915 Hardy-Sobolev type integral systems with Dirichlet boundary conditions in a half space http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13915 Wei Dai, Zhao Liu and Guozhen Lu Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13916 Stability of the composite wave for the inflow problem on the micropolar fluid model http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13916 Haibo Cui and Haiyan Yin Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13917 Robin problems with indefinite linear part and competition phenomena http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13917 0$ varies. We also show the existence of a minimal positive solution $\tilde{u}_\lambda$ and determine the monotonicity and continuity properties of the map $\lambda \mapsto \tilde{u}_\lambda$. ]]> Nikolaos S. Papageorgiou, Vicenţiu D. Rădulescu and Dušan D. Repovš Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13918 Non-topological solutions in a generalized Chern-Simons model on torus http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13918 Youngae Lee Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13919 Global regular solutions to three-dimensional thermo-visco-elasticity with nonlinear temperature-dependent specific heat http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13919 45, No. 4 (2013), pp. 1997--2045. ]]> Irena Pawłow and Wojciech M. Zajączkowski Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13920 A competition model with dynamically allocated toxin production in the unstirred chemostat http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13920 Hua Nie, Sze-Bi Hsu and Jianhua Wu Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13921 Single spreading speed and traveling wave solutions of a diffusive pioneer-climax model without cooperative property http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13921 Jiamin Cao and Peixuan Weng Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13922 Minimizers of anisotropic perimeters with cylindrical norms http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13922 Giovanni Bellettini, Matteo Novaga and Shokhrukh Yusufovich Kholmatov Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13923 Damping to prevent the blow-up of the Korteweg-de Vries equation http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13923 Pierre Garnier Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13925 On the set of harmonic solutions of a class of perturbed coupled and nonautonomous differential equations on manifolds http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13925 Luca Bisconti and Marco Spadini Sat, 1 Jul 2017 20:00:00 GMT http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13926 Asymptotic behavior of Dirichlet eigenvalues on a body coated by functionally graded material http://www.aimsciences.org/test_aims/journals/displayPaper.jsp?paperID=13926 Huicong Li and Jingyu Li Sat, 1 Jul 2017 20:00:00 GMT