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Publications


  1. Variable order nonlocal Choquard problem with variable exponents , Complex Variables and Elliptic Equations, 2020, (with Reshmi Biswas).

  2. Nehari manifold approach for fractional p(.)-Laplacian system involving concave-convex nonlinearities , Electron. J. Differential Equations, 2020, (with Reshmi Biswas).

  3. On a class of Kirchhoff-Choquard equations involving variable-order fractional p(⋅)− Laplacian and without Ambrosetti-Rabinowitz type condition , Topological Methods in Nonlinear Analysis, DOI 10.12775/TMNA.2020.072, (with Reshmi Biswas).

  4. Regularity results for Choquard equations involving fractional p-Laplacian , arXiv:2008.07398, (with Reshmi Biswas).

  5. A multiparameter fractional Laplace problem with semipositone nonlinearity , Communications on Pure and Applied Analysis, 2021, (with R. Dhanya).

  6. Existence and global behavior of solutions to fractional p-Laplacian parabolic problems , Electron. J. Differential Equations, 2018 (with Jacques Giacomoni).

  7. Existence and nonexistence of solutions to pure supercritical p-Laplacian problems, Journal of Fixed Point Theory and Applications, 2017, (with Mónica Clapp).

  8. Very singular problems with critical nonlinearities in two dimensions, Communications in Contemporary MAthematics, 2016, (with S. Prashanth and K. Sreenadh).

  9. Multiple solutions to a pure supercritical problem for the p-Laplacian, Calculus of Variations and Partial Differential Equations, 55(7), 2016, (with Mónica Clapp).

  10. Quasi-linear parabolic problem with p(x)-Laplacian: existence, uniqueness of weak solutions and stabilization, Nonlinear Differential Equations and Applications, doi:10.1007/s00030-016-0380-3, 2016, (with Jacques Giacomoni and Guillaume Warnault).

  11. Elliptic Problems in RN with Critical and Singular Discontinuous Nonlinearities, Complex Variables and Elliptic Equations, 61(12), 2016, (with R. Dhanya, S. Prashanth and K. Sreenadh).

  12. N-Laplacian Critical Problem with Discontinuous Non- linearities, Advances in Nonlinear Analysis, 4(2), 2015.

  13. Critical growth elliptic problem in R2 with singular discontinuous nonlinearities, Advances in Differential Equations, 19( 5/6), 2014, (with R. Dhanya, S. Prashanth and K. Sreenadh).

  14. Multiple positive solutions of singular and critical elliptic problem in R2 with discontinuous nonlinearities, Nonlinear Differential Equations and Applications, 20, 2013, (with K. Sreenadh).

  15. Global multiplicity results for p(x)- Laplacian equations with nonlinear Neumann boundary condition, Differential and Integral Equations, 26(7/8), 2013, (with K. Sreenadh).

  16. On W1,p(x) versus C1 local minimizers of functionals related to p(x)-Laplacian, Applicable Analysis, 92(6), 2013, (with K. Sreenadh).

  17. On W1,p versus C1(Ω) local minimizers of functionals with critical growth, Applicable Analysis, 91(9), 2012, (with Bhatia Sumit Kaur and K. Sreenadh).