Recent Publications


  • Symmetry of Ground States of p-Laplace Equations via the Moving Plane Method, L.Damascelli , F.Pacella and Mythily Ramaswamy, Arch. Ratl. Mech. Anal. 148 (1999) pp 291-308. ps file pdf file

  • Symmetry of C^1 solutions of p-Laplace Equations in R^N, L.Damascelli and Mythily Ramaswamy , Advances in Nonlinear Studies, vol. 1, 2001. ps file pdf file

  • A strong maximum principle for a class of non positone singular elliptic problems, F. Pacella, L. Damascelli and M. Ramaswamy, Nonlinear Differential Equations and Applications, 10 (2003) 187 - 196 . ps file pdf file

  • Existence of Positive Solutions of Some Semilinear Elliptic Equations with Singular Coefficients, N.Chaudhuri and Mythily Ramaswamy, Proc. Royal Soc. Ed. 131 (2001), no. 6, 1275-1295.
  • An Improved Hardy-Sobolev inequality and its application, Adimurthi , N.Chaudhuri and Mythily Ramaswamy, Proc. Amer. Math. Soc., 130 (2002), 489-505. ps file pdf file

  • Analysis of the self similar solutions of nonplanar Burger's equation , P.L.Sachdev, Srinivasa Rao and Mythily Ramaswamy, Nonlinear Analysis, T, M & A. 51 (2002), no. 8, 1447--1472.
  • Radial singular solutions of a critical problem in a ball, J. Dolbeault, M.J. Esteban, M. Ramaswamy. Diff and Integ. Equns. 15 (2002), no. 12, 1459--1474 . ps file pdf file

  • Apriori estimates for the solutions of subcritical problems on the CR sphere, J.Prajapat and Mythily Ramaswamy. Advanced Nonlinear Studies, 3, no. 3, 2003, 355--396. ps file pdf file

  • Some elliptic indefinite problems on R^N, J.Giacomoni, M. Lucia and Mythily Ramaswamy. Proc. Royal Soc. Ed. A, 134, (2004) No. 2, 333-361. ps file pdf file

  • Self similar solutions of a generalized Burger's equation with nonlinear damping, P.L.Sachdev, Srinivasa Rao and Mythily Ramaswamy. Nonlinear Anal, Real world Appl. 4 (2003) No. 5, 723-741 .
  • Generalized Hardy-Sobolev inequalities and exponential decay of the Entropy of $g(x)\partial u/\partial t =\Delta u $. Andreas Unterreiter and Mythily Ramaswamy. To appear in Monatsheft fur Mathematik , 143,No.1, (2004) 35-59. ps file pdf file

  • Sufficient structure conditions for uniqueness of fully nonlinear equations. G.Barles and Mythily Ramaswamy. NODEA. 12 , 2005, 503-523. ps file pdf file

  • Multiple positive solutions for classes of $p-$ Laplacian equations, Mythily Ramaswamy and R.Shivaji . Diff. & Integ. Equns, 17, no.11-12,2004 1255-1261. ps file pdf file

  • Zero Sum Differential games involving Hybrid Controls , Mythily Ramaswamy and Dharmatti Sheetal, Jl Optim. Th. Appl. Vol 128, No. 1, 2006, 75-102. ps file pdf file

  • Positive Solution branch for elliptic problems with critical indefinite nonlinearity, J.Giacomoni, J. Prajapat and Mythily Ramaswamy. Diff. Integ Equns, 18, No.7, 2005, 721-764. ps file pdf file

  • Hybrid Control and Viscosity Solutions, Sheetal Dharmatti and Mythily Ramaswamy. SIAM Jl Control and Optimization. vol 44, No 4, 2005, 1259-1288. ps file pdf file

  • Uniqueness of Unbounded Viscosity Solutions for Impulse Control Problems, Jl. Math Anal. Applications, Vol 315,2, 2005, 686-710. Sheetal Dharmatti and Mythily Ramaswamy. ps file pdf file

  • Multiple positive solutions for systems of elliptic systems with combined nonlinear effects, Jaffer Ali, R.Shivaji and Mythily Ramaswamy. Diff and Integ. Equns., Vol 19, No. 6 (2006), 660-680.
  • Positive solutions for elliptic problems with critical indefinite nonlinearity in bounded domains, J.Giacomoni and J.Prajapat and Mythily Ramaswamy, Electronic Journal of Differential Equations, Conf. 15 (2007), 107-126.
  • Construction of Approximate Optimal Strategies for Differential Games in a Hilbert Space, Mythily Ramaswamy and A. J. Shaiju Journal of Optimization Theory and Applications, vol 141, 2, 2009, page 349-370.

  • Positive Solutions for a class of infinite semipositone problems, Mythily Ramaswamy, R.Shivaji,Jinglong Ye, Differential and Integral Equations, Volume 20, Number 12, 1423-1433, (2007).

  • Global Bifurcation for semilinear problems, Marcello Lucia and Mythily Ramaswamy, Recent advances in Nonlinear Analysis, Proceedings of the international conference on Nonlinear Analysis, Hsinchu, Taiwan, 20-25 November, 2006 , Ed. Chipot, C-S Lin, D-H Tsai, World Scientific, pp 197-216, (2007)
  • Symmetry of solutions of elliptic equations via maximum principles, F. Pacella and Mythily Ramaswamy, Handbook of differential equations: stationary partial differential equations. Vol. VI, 269--312, Elsevier/North-Holland, Amsterdam, 2008.
  • T.V.Anoop, M. Lucia and Mythily Ramaswamy, Weighted eigenvalue problems with weights in Lorentz spaces, Calc. Var. Partial Differential Equations 36 (2009), no. 3, 355--376.