Key Publications

  • J. M. do Ó, P. K. Mishra and A. Momeni, Super critical problems with concave and convex nonlinearities in RN, accepted for publication in Communications in Contemporary Mathematics (2019).
  • 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 , accepted for publication in Journal de Mathématiques Pures et Appliquées (2019), 131, 225-250.
  • J. M. do Ó, J. Giacomoni and P. K. Mishra, Nonautonomous fractional Hamiltonian systems with critical exponential growth, Nonlinear Differential Equations and Applications (2019), DOI: https://doi.org/10.1007/s00030-019-0575-5.
  • J. M. do Ó, J. Giacomoni and P. K. Mishra, Nehari manifold for fractional Kirchhoff system with critical nonlinearity, Milan Journal of Mathematics (2019), DOI: 10.1007/s00032-019-00298-z
  • J. M. do Ó, P. K. Mishra and J. Zhang, Solutions concentrating around the saddle points of the potential for two dimensional Schrödinger 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 Ó, 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, 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.

Preprints:

  • P. K. Mishra, J. M. do Ó and M. de Souza, Multiplicity results for fractional magnetic problems involving exponential growth}, communicated, preprint available at https://arxiv.org/pdf/1906.12013.pdf
  • P. K. Mishra, J. M. do Ó and D. G. Costa, The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth, preprint available at https://arxiv.org/pdf/1906.10730.pdf