期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (5)
We show that the isoperimetric profile h(g(t) )(xi) of a compact Riemannian manifold (M, g) is jointly continuous when metrics g(t) vary continuously.......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (10)
In the literature, the study of the continuous Cucker-Smale flocking model with unit speed is all restricted to completed undirected graphs. In this p......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (10)
We give new methods to obtain certain transformation formulas of q-hypergeometric series. Our approach uses residue calculus. We apply this method to ......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (8)
Trudinger-Moser inequality with logarithmic weight was first established by Calanchi and Ruf [J. Differential Equations 258 (2015), pp. 1967-1989]. Th......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (5)
By using the Fourier transform, we successfully give Kroger-type estimates for sums of eigenvalues of the free plate (under tension and with nonzero P......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (6)
In 2000, Kadell gave an orthogonality conjecture for a symmetric function generalization of the Zeilberger-Bressoud q-Dyson theorem or the q-Dyson con......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (7)
A unified geometric approach for the stability analysis of traveling pulse solutions for reaction diffusion equations with skew-gradient structure has......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (4)
We consider the equation u(t) = u(xx) + f(t,u), x is an element of R, t > 0, where f(t, x) periodically depends on t and is of bistable type. Class......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (5)
The brake orbits of Hamiltonian systems are studied. It is proved that if the Hamiltonian H is super-quadratic and satisfies H(-p, q) = H(p, q) for al......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (4)
Let U be a type 1 subdiagonal algebra in a sigma-finite von Neumann algebra M with respect to a faithful normal conditional expectation Phi. We give n......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (6)
We study the connections between the stability properties, the Morse index, and the Conley-Zehnder index of a periodic orbit in Lagrangian systems. We......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (5)
In this paper, we first establish a version of multidimensional analogues of the refined Bohr's inequality. Then we establish two versions of multidim......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (10)
In this paper, we study the areas of compact rotational hyper-surfaces with H-m = 0 in the spheres, prove that the set for areas of these hypersurface......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (4)
This paper is concerned with the pulsating traveling waves of a periodic lattice dynamical system with monostable nonlinearity. We first establish the......
期刊： PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021; 149 (4)
Delay in feedback is inevitable in a multi-agent system due to time lags in information processing for self-organization. The well-known Cucker-Smale ......
