Publications

ORCID : Link 
Google Scholar : Link 

1. D. R. Adhikari and T. M. Asfaw, Existence Results for multivalued compact perturbations of m-accretive operators. Submitted
2. D. R. Adhikari and E. Stachura, Eigenvalue problems for p-div-curl systems,  J. Math. Anal. Appl. 526 (2023), no. 2, Paper No. 127327.  (https://doi.org/10.1016/j.jmaa.2023.127327)
3. D. R. Adhikari, Continuity of Yosida Approximants of Maximal Monotone Operators Corresponding to General Duality Mappings, Advances in Mathematical Sciences and Applications, Vol. 32 (2023), No. 1,  pp. 59–71.
4. D. R. Adhikari, A. Aryal, G. Bhatt, I. J. Kunwar, R. Puri and M. Ranabhat. Solvability of Inclusions Involving Perturbations of Positively Homogeneous Maximal Monotone Operators, Electron. J. Differential Equations, Vol. 2022 (2022), No. 63, pp. 1-25.
5. D. R. Adhikari, T. M. Asfaw, and E. Stachura, A topological degree theory for perturbed A_G(S+) operators and applications to nonlinear problems,  J. Math. Anal. Appl. 497 (2021), no. 2, 124912; https://authors.elsevier.com/a/1cMqB,WNxgV7V
6. D. R. Adhikari and E. Stachura, A general p-curl system and duality mappings on Sobolev spaces for the Maxwell equations, Electron. J. Differential Equations, Vol. 2020 (2020), No. 116, pp. 1-22. pdf
7. D. R. Adhikari, Topological Degree for Quasibounded Multivalued $(\widetilde S_+)$-Perturbations of Maximal Monotone Operators, Applicable Analysis, 99 (2020),  No. 13, 2339-2360. (https://doi.org/10.1080/00036811.2018.1562058).
8. D. R. Adhikari, I. Kunwar, Topological Degrees on Unbounded Domains, Open J. Math. Anal.,Vol. 2(2018), Issue 2, pp. 41-50. pdf
9. D. R. Adhikari, Existence Results for Multivalued Operators of Monotone Type in Reflexive Banach Spaces, International Conference on Applications of Mathematics to Nonlinear Sciences, Electron. J. Differential Equations, Conference 24 (2017), pp. 1-10.  pdf
10. D. R. Adhikari, Nontrivial Solutions of Inclusions Involving Perturbed Maximal Monotone Operators, Electron. J. Differential Equations, Vol. 2017 (2017), No. 151, 1-21. pdf
11. D. R. Adhikari, Invariance of Domain for Operators of Class A_G(S+), Nepali Math. Sci. Rep., 34 (2016), no. 1, 11-18.
12. D. R. Adhikari, A. G. Kartsatos, Invariance of Domain and Eigenvalues for Perturbations of Densely Defined Linear Maximal Monotone Operators, Appl. Anal. 95 (2016), no. 1, 24–43.
13. D. R. Adhikari,  Solvability of Perturbed Maximal Monotone Operator Inclusions in Banach spaces, Nepali Math. Sci. Rep., 33 (2014), no. 1 & 2, 1-16.
14. D. R. Adhikari, Existence Results for Nonlinear Perturbations of Linear Maximal Monotone Operators, Neural Parallel Sci. Comput. 22 (2014), no. 3, 261–276.
15. D. R. Adhikari, A. G. Kartsatos, New Topological Degree Theory for Perturbations of the Sum of Two Maximal Monotone Operators, Nonlinear Anal. 74 (2011), no. 14, 4622–4641.
16. D. R. Adhikari, A. G. Kartsatos, Strongly Quasibounded Perturbations of Linear Densely Defined Maximal Monotone Operators for Berkovits-Mustonen Topological Degree Theory, J. Math. Anal. Appl. 348 (2008), no. 1, 122–136.
17. D. R. Adhikari, A. G. Kartsatos, Topological Degree Theories and Nonlinear Operator Equations in Banach Spaces, Nonlinear Anal. 69 (2008), no. 4, 1235–1255.

Thesis/Dissertation

• D. R. Adhikari, Applications of Degree Theories to Nonlinear Operator Equations in Banach Spaces, Ph.D. Dissertation (2007), University of South Florida, Tampa, Florida.
  Supervisor: Professor Athanassios G. Kartsatos

• D. R. Adhikari, An Existence Theorem in One-dimensional Variational Problems,
  Dissertation for postgraduate diploma (2002), ICTP, Trieste, Italy.
  Supervisor: Professor Gianni Dal Maso