Research Interest

  • Analysis of Partial Differential Equations
  • Applied Functional Analysis
  • Nonlinear Analysis
  • Variational Methods

  Academic Background

  • Ph.D.: Indian Institute of Technology Delhi, Jul 2012-Oct 2016
  • M.Sc.: Indian Institute of Technology Delhi, July 2010- May 2012
  • B.Sc.: Lucknow University, 2007-2010

  Subjects Taught

  • MA504, Differential Equations, IIT Bhilai, 2020-21(M)
  • MA511, Topics in Nonlinear Analysis, IIT Bhilai, 2020-21(M)
  • IC153, Calculus-I, IIT Bhilai, 2019-20(W)
  • MA606, Partial Differential Equations, IIT Bhilai, 2019-20(W)
  • Critical Point Theory, UFPB Brazil, March 2019-July 2019
  • Mini course on fractional Sobolev spaces, UFPB Brazil, July 2017 -August 2017

  Professional Responsibilities

  • Faculty-in-Charge NSS

  Professional Experience

  • Assistant Professor: Indian Institute of Technology Bhilai, Raipur, Dec 2019-Till date
  • Visiting Professor: Federal University of Paraiba, Brazil, Oct 2018- Sep 2019
  • Postdoc Fellow: Federal University of Paraiba, Brazil, Nov 2016- Oct 2018

  Awards and Accolades

  • Selected for National Board for Higher Mathematics postdoctoral fellowship, 2017 (Not availed)
  • Selected for PNPD-CAPES postdoctoral fellowship, 2016-2021
  • Selected for postdoctoral fellowship in Tata Institute of Fundamental Research-Centre for Applicable Mathematics, Bangalore, 2017 (Not availed)
  • University Grant Commission India Graduate Scholarship, 2013--2016
  • Ministry of Human Research Development India Graduate Scholarship, 2012--2013

 Selected Publications

  • Manasses de Souza, J. M. do O and P. K. Mishra, Multiplicity results for fractional magnetic problems involving exponential growth (2021), to appear in Mathematical Methods in Applied Sciences.
  • David G. Costa, J. M. Do O and P. K. Mishra, The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth (2021), to appear in Topological Methods in Nonlinear Analysis.
  • A. Fiscella and P. K. Mishra, Fractional Kirchhoff Hardy problems with singular and critical Sobolev nonlinearities,Manuscripta Mathematica (2021), https://doi.org/10.1007/s00229-021-01309-3.
  • J. M. do O, P. K. Mishra and A. Momeni, Super critical problems with concave and convex nonlinearities in RN, Communications in Contemporary Mathematics (2020), 23(6), 2050052 (18 pages).
  • C. A. Santos, L. Santos and P. K. Mishra, Continuums of positive solutions for classes of non-autonomous and non-local problems with strong singular terms, Journal de Mathematiques Pures et Appliques (2019), 131, 225-250
  • J. M. do O, J. Giacomoni and P. K. Mishra, Nonautonomous fractional Hamiltonian system with critical exponential growth, Nonlinear Differential Equations and Applications (2019), DOI: https://doi.org/10.100\\7/s00030-019-0575-5.
  • J. M. do O, J. Giacomoni and P. K. Mishra, Nehari manifold for fractional Kirchhoff system with critical nonlinearity, Milan Journal of Mathematics (2019), 87, 201-231
  • J. M. do O, P. K. Mishra and J. Zhang, Solutions concentrating around the saddle points of the potential for two dimensional Schrodinger equations, Zeitschrift fur angewandte Mathematik und Physik ZAMP (2019), 70, Art. 64, 26 pages
  • A. Fiscella and P. K. Mishra, The Nehari manifold for fractional Kirchhoff problems involving singular and critical terms, Nonlinear Analysis (2019), 186, 6–32
  • J. M. do O, X. He and P. K. Mishra, Fractional Kirchhoff problem with critical indefinite nonlinearity, Mathematische Nachrichten (2018), 292 (3), 615-632
  • J. Giacomoni, P. K. Mishra and K. Sreenadh, Fractional elliptic equations with critical exponential nonlinearity}, Advances in Nonlinear Analysis (2016), 5, 57--74
  • J. Giacomoni, P. K. Mishra and K. Sreenadh, Critical growth fractional elliptic systems with exponential nonlinearity, Nonlinear Analysis (2016), 136,117--135
  • P. K. Mishra and K. Sreenadh, Bifurcation and multiplicity result for fractional Laplacian with critical exponential nonlinearity, Electronic Journal of Differential Equations, 2016(2016), 203, 1-9
  • P. K. Mishra, S. Goyal and K. Sreenadh, Polyharmonic Kirchhoff type equations with singular exponential nonlinearities, Communications on Pure and Applied Analysis (2016), 15(5), 1689-1717
  • P. K. Mishra and K. Sreenadh, Existence of Solutions of fractional p-Kirchhoff equation with critical nonlinearities, Electronic Journal of Differential Equations, 2015(2015), 93, 1--14

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