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, Jan 2020 till date
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
Awarded Distinction in Ph. D. Thesis award, IIT Delhi.
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
P. K. Mishra, K. Silva and V. M. Tripathi, Extremal parameter for double phase problem with concave-convex nonlinearity, Communications in Nonlinear Science and Numerical Simulation (2023), DOI: https://doi.org/10.1016/j.cnsns.2023.107463.
P. K. Mishra and V. M. Tripathi, A study of extremal parameter for fractional singular Choquard problem (2023), Mathematische Nachrichten, DOI: 10.1002/mana.202200194.
A. Fiscella and P. K. Mishra, Fractional Kirchhoff Hardy problems with singular and critical Sobolev nonlinearities,Manuscripta Mathematica, (2022) 168, 257-301 (2022)
Manasses de Souza, J. M. do O and P. K. Mishra, Multiplicity results for fractional magnetic problems involving exponential growth, Mathematical Methods in Applied Sciences, (2021), 45 (5), 3098-3123.
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,Topological Methods in Nonlinear Analysis (2021), 58, 105--134.
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