Department of Mathematics

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#	Title	Journal	Year	Citations
1	Molecular Computation by DNA Hairpin Formation	Science	2000	363
2	Trudinger type inequalities in $\mathbf {R}^N$ and their best exponents	Proceedings of the American Mathematical Society	1999	242
3	A remark on least energy solutions in $\mathbf {R}^N$	Proceedings of the American Mathematical Society	2002	235
4	Decay Estimates of Solutions for the Equations of Motion of Compressible Viscous and Heat-Conductive Gases in an Exterior Domain in ℝ 3	Communications in Mathematical Physics	1999	186
5	Multiple coexistence states for a prey–predator system with cross-diffusion	Journal of Differential Equations	2004	120
6	Zeta Functions of Finite Graphs and Representations of p-Adic Groups		1989	108
7	Representations of the quantum group SUq(2) and the little q-Jacobi polynomials	Journal of Functional Analysis	1991	98
8	Diffeomorphisms in ℱ¹(M) satisfy Axiom A	Ergodic Theory and Dynamical Systems	1992	91
9	A positive solution for an asymptotically linear elliptic problem on $\mathbb{R}^N$ autonomous at infinity	ESAIM - Control, Optimisation and Calculus of Variations	2002	90
10	On the Oseen equation in the three dimensional exterior domains	Mathematische Annalen	1998	83
11	Multiplicity of positive solutions of a nonlinear Schr�dinger equation	Manuscripta Mathematica	2003	83
12	The Gromov invariant of links	Inventiones Mathematicae	1981	81
13	Unitary representations of the quantum group SU q (1,1): Structure of the dual space ofU q (sl(2))	Letters in Mathematical Physics	1990	81
14	Four positive solutions for the semilinear elliptic equation: $-\Delta u+u=a(x)u^p+f(x)$ in ${\mathbb R}^N$	Calculus of Variations and Partial Differential Equations	2000	80
15	Stability of steady-state solutions to a prey–predator system with cross-diffusion	Journal of Differential Equations	2004	76
16	Lyapunov functional techniques for the global stability analysis of a delayed SIRS epidemic model	Nonlinear Analysis: Real World Applications	2012	74
17	Asymptotic solutions for large time of Hamilton–Jacobi equations in Euclidean n space	Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire	2008	72
18	ON ZETA AND L-FUNCTIONS OF FINITE GRAPHS	International Journal of Mathematics	1990	71
19	A class of integral equations and approximation of p-Laplace equations	Calculus of Variations and Partial Differential Equations	2010	65
20	Some nonlinear degenerate wave equations	Nonlinear Analysis: Theory, Methods & Applications	1987	63
21	Global stability for a multi-group SIRS epidemic model with varying population sizes	Nonlinear Analysis: Real World Applications	2013	63
22	On the asymptotic behaviour of almost-orbits of nonlinear contraction semigroups in Banach spaces	Nonlinear Analysis: Theory, Methods & Applications	1982	60
23	Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate	Journal of Mathematical Analysis and Applications	2011	56
24	Local C -Semigroups and Local Integrated Semigroups	Proceedings of the London Mathematical Society	1990	54
25	The modular properties and the integral representations of the multiple elliptic gamma functions	Advances in Mathematics	2004	53
26	On a system of nonlinear Schrödinger equations with quadratic interaction	Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire	2013	52
27	Complete global analysis of an SIRS epidemic model with graded cure and incomplete recovery rates	Journal of Mathematical Analysis and Applications	2014	51
28	Unitary representations of the quantum group SU q (1, 1): II ? Matrix elements of unitary representations and the basic hypergoemetric functions	Letters in Mathematical Physics	1990	50
29	A local mountain pass type result for a system of nonlinear Schrödinger equations	Calculus of Variations and Partial Differential Equations	2011	50
30	Approximation of semi-groups of nonlinear operators	Tohoku Mathematical Journal	1970	49
31	Global dynamics of difference equations for SIR epidemic models with a class of nonlinear incidence rates	Journal of Difference Equations and Applications	2012	49
32	Some remarks on semi-groups of nonlinear operators	Tohoku Mathematical Journal	1971	47
33	Uniqueness of positive radial solutions of semilinear elliptic equations in RNand séré's non—degeneracy condition	Communications in Partial Differential Equations	1999	47
34	ARTIN TYPE L-FUNCTIONS AND THE DENSITY THEOREM FOR PRIME CYCLES ON FINITE GRAPHS	International Journal of Mathematics	1992	46
35	Global stability of a delayed SIRS computer virus propagation model	International Journal of Computer Mathematics	2014	46
36	On the Lq-Lr estimates of the Stokes semigroup in a two dimensional exterior domain	Journal of the Mathematical Society of Japan	1999	45
37	Positive solutions of a degenerate elliptic equation with logistic reaction	Proceedings of the American Mathematical Society	2000	45
38	Positive steady states for a prey–predator model with some nonlinear diffusion terms	Journal of Mathematical Analysis and Applications	2006	45
39	Extended Affine Root Systems III (Elliptic Weyl Groups)	Publications of the Research Institute for Mathematical Sciences	1997	44
40	Stability analysis of a delayed multi-group SIS epidemic model with nonlinear incidence rates and patch structure	Journal of Mathematical Analysis and Applications	2015	42
41	Nonlinear Scalar Field Equations with L ² Constraint: Mountain Pass and Symmetric Mountain Pass Approaches	Advanced Nonlinear Studies	2019	42
42	Multiplicity Result for a Degenerate Elliptic Equation with Logistic Reaction	Journal of Differential Equations	2001	41
43	Clustering layers and boundary layers in spatially inhomogeneous phase transition problems	Annales De L'Institut Henri Poincare (C) Analyse Non Lineaire	2003	41
44	Multi-bump solutions for logarithmic Schrödinger equations	Calculus of Variations and Partial Differential Equations	2017	41
45	The equivalence of weak solutions and entropy solutions of nonlinear degenerate second-order equations	Journal of Differential Equations	2003	40
46	Uniqueness of Positive Solutions for a Nonlinear Elliptic System	Nonlinear Differential Equations and Applications	2009	40
47	Global stability of extended multi-group sir epidemic models with patches through migration and cross patch infection	Acta Mathematica Scientia	2013	37
48	Gelfand-Zetlin basis for Uq(gl(N+1)) modules	Letters in Mathematical Physics	1989	36
49	Cofiniteness of Local Cohomology Modules for Principal Ideals	Bulletin of the London Mathematical Society	1998	36
50	On the computational power of insertion-deletion systems	Natural Computing	2003	36

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