Published/Accepted Articles:
L. Shangerganesh and K. Balachandran, Existence and uniqueness of solutions of predator-prey type model with mixed boundary conditions, Acta Applicandae Mathematicae 116(2011) 71-86.
V. Bhuvaneswari, L. Shangerganesh and K. Balachandran, Weak solutions for p-Laplacian equation, Advances in Nonlinear Analysis 1(2012) 319-334.
L. Shangerganesh, N. Barani Balan and K. Balachandran, Weak-renormalized solutions for predator-prey system, Applicable Analysis 92(2013) 441-459.
V. Bhuvaneswari, L. Shangerganesh and K. Balachandran, Weak solutions for p-q Laplacian equation, Nonlinear Functional Analysis and Applications 18(2013) 51-66.
L. Shangerganesh and K. Balachandran, Renormalized and entropy solutions of nonlinear parabolic systems, Electronic Journal of Differential Equations 268(2013) 1-24.
L. Shangerganesh and K. Balachandran, Solvabilty of reaction-diffusion model with variable exponents, Mathematical Methods in the Applied Sciences 37(2014) 1436-1448.
L. Shangerganesh, N. Barani Balan and K. Balachandran, Existence and uniqueness of solutions of degenerate chemotaxis system, Taiwanse Journal of Mathematics 18(2014) 1605-1622.
L. Shangerganesh, N. Barani Balan and K. Balachandran, Weak-renormalized solutions for three species competition model in ecology, International Journal of Biomathematics 7(2014) 1450062.
V. Bhuvaneswari, L. Shangerganesh and K. Balachandran, Global existence and blow up of solutions of quasilinear chemotaxis system, Mathematical Methods in the Applied Sciences 38(2015) 3738-3746.
A. Gurusamy, L. Shangerganesh and K. Balachandran, Blow-up of solutions of non-linear parabolic system with variable exponents, Nonlinear Functional Analysis and Applications, 21(2016) 449-461.
S. Ganesan and L. Shangerganesh, A biophysical model of tumor invasion, Communications in Nonlinear Science and Numerical Simulation, 46(2017) 135-152.
L. Shangerganesh, A. Gurusamy and K. Balachandran, Weak solutions for nonlinear parabolic equations with variable exponents, Communications in Mathematics, 25(2017) 55-70.
S. Ganesan and L. Shangerganesh, Galerkin finite element method for cancer invasion mathematical model, Computers and Mathematics with Applications, 73(2017) 2603-2617.
Communicated Articles:
L. Shangerganesh, A. Gurusamy and K. Balachandran, Global existence and blow up of solutions for an epidemic disease model with cross-diffusion.
Articles in Preparation:
Conference Proceedings/Presentations:
L. Shangerganesh, Existence and uniqueness of solutions of predator-prey type model, paper presented in One day Seminar on Partial Differential Equations, Bharathiar University, Coimbatore, November, 2009.
L. Shangerganesh, Existence of solutions of degenerate chemotaxis model, paper presented in National Conference on Advances in Differential Equations and Applications, Periyar University, Salem, October, 2010.
L. Shangerganesh, Solvability of predator-prey model, proceedings in National Conference on Computational Biology, DRDO Center for Life Sciences, Bharathiar University, Coimbatore, February, 2013.
L. Shangerganesh and Sashikumaar Ganesan, Numerical simulations of cancer invasion mathematical model using finite element method, paper presented in Conference on Computational PDE: Finite Element Meet, TIFR-CAM, Bangalore, December, 2014.
L. Shangerganesh and Sashikumaar Ganesan, Galerkin finite element method for chemotaxis-hapotaxis cancer invasion model, paper presented in the International Congress on Industrial and Applied Mathematics (ICIAM), Beijing, P. R. China, August, 2015.