Publications and Research

Journal Publications

• Weakly Monotone Decreasing Solutions to Elliptic Schrödinger Systems
  Edward Chernysh Electronic Journal of Differential Equations, Vol. 2021 (2021), No. 28, pp. 1-11.
  PDF Peer-reviewed Publication (EJDE)
• A Struwe-type decomposition result for weighted critical p-Laplace equations
  Edward Chernysh Nonlinear Analysis, 273 (2026), 114206, 38 pp.
  PDF Peer-reviewed Publication (NLA) arXiv
• Entire Nodal Solutions to Critical Caffarelli–Kohn–Nirenberg Equations
  Edward Chernysh Discrete & Continuous Dynamical Systems, 2027, Volume 58: 390-416.
  PDF Peer-reviewed Publication (DCDS) arXiv

Theses

• A Global Compactness Theory for Critical Caffarelli–Kohn–Nirenberg Problems with Applications
  Edward Chernysh PhD Dissertation, McGill University (2026)
  PDF McGill Library (TBA)
• A Global Compactness Theorem for Critical p-Laplace Equations with Weights
  Edward Chernysh Master of Science Thesis, McGill University (2020)
  PDF McGill Library