List of refereed publications

Dhanya R, Giacomoni J, Prashanth S.; Isolated singularities for the exponential type semilinear elliptic equation in IR2. Proc. Amer. Math. Soc. 137 (2009), no. 12,4099-4107.

 Bhatia Sumit Kaur, K. Sreenadh, R Dhanya.; On multiplicity of Positive solutions for quasilinear equation with co-normal boundary condition. Adv. Nonlinear Stud.10(2010),511-536

R Dhanya, J Tyagi.; Existence of non negative solutions to positone type problems with indefinite weight in IRN: Electron. J. Differential Equations 2010, No. 158, 16 pp.

 R Dhanya, J Giacomoni, K Saoudi, S Prashanth.; Global bifurcation and local multiplicity results for elliptic equation with singular nonlinearity of super exponential growth in IR2: Adv. Differential Equations 17 (2012), No 3-4, 369-400.

 R.Dhanya, S Prashanth, K. Sreenadh, Sweta Tiwari.; Critical growth elliptic problem in R2 with singular discontinuous nonlinearities. Adv. Differential Equations 19 (2014),No 5-6, 409-440.

R Dhanya, Eunkyung Ko, R Shivaji.; A three solution theorem for singular nonlinear elliptic boundary value problems. J. Math. Anal. Appl. 424 (2015), no. 1, 598-612.

R Dhanya, Abhishek Sarkar.; Isolated Singularities of Polyharmonic operator in even dimension. Complex Var. Elliptic Equ. 61 (2016), no. 1, 55-66.

 R Dhanya, Q Morris, R Shivaji.; Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball. J. Math. Anal. Appl. 434 (2016), no.2, 1533-1548.

R Dhanya, Eunkyung Ko, R Shivaji.; Existence of three solutions for a two-point singular boundary-value problem with an unbounded weight. Proceedings of the Tenth MSU Conference on Differential Equations and Computational Simulations, 131-138, Electron. J. Difer. Equ. Monogr., 23., 2016

 R.Dhanya, S Prashanth, K. Sreenadh, Sweta Tiwari.; Elliptic problems in IRN with critical and singular discontinuous nonlinearities. Complex Variables and Elliptic Equations,61 (2016), no. 12, 1668 -1688

 Dhanya, Rajendran Positive solution curves of an infinite semipositone problem.Electron. J. Differential Equations  2018, Paper No. 178, 14 pp.

Csató, Gyula; Kneuss, Olivier; Rajendran, Dhanya On the boundary conditions in estimating ∇ω by div ω and curl ω. Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 3, 739–760.

Dhanya, Rajendran; Shivaji, Ratnasingham; Son, Byungjae A three solution theorem for a singular differential equation with nonlinear boundary conditions. Topol. Methods Nonlinear Anal. 54 (2019), no. 2, 445–457.

Dhanya Rajendran; Sweta Tiwari . A multiparameter fractional Laplace problem with semipositone nonlinearity.Commun. Pure Appl. Anal. 20 (2021), no. 12, 4043–4061.

Dhanya, R.; Indulekha, M. S.; Jana, Ritabrata Strong comparison principle for a p-Laplace equation involving singularity and its applications. Appl. Math. Lett. 135 (2023), Paper No. 108403, 8 pp

R. Dhanya, M.S. Indulekha; Parameter estimates and a uniqueness result for a double phase problem with a singular nonlinearity. https://arxiv.org/abs/2302.04176

R. Dhanya, Ritabrata Jana, Uttam Kumar and Sweta Tiwari : Positive solutions for fractional $p$- Laplace semipositone problem with superlinear growth. https://arxiv.org/abs/2304.10887

R. Dhanya, R. Harish and Sarbani Pramanik ;On a class of infinite semipositone problems for $\mathbf{(p,q)}$ Laplace operator. https://arxiv.org/abs/2301.12205