Edward Chernysh (McGill)

Title: Entire Nodal Solutions with Prescribed Symmetry to Caffarelli-Kohn-Nirenberg Equations

Abstract: In this talk, we establish the existence of sign-changing entire solutions to weighted critical p-Laplace equations of the Caffarelli-Kohn-Nirenberg type. In doing so, we investigate classes of symmetry and show that, for suitable symmetry configurations, there exists a non-trivial solution which changes sign and respects the corresponding prescribed symmetry. In addition, we give conditions under which these symmetry-types are incompatible. Notably, we demonstrate the existence of entire nodal solutions for an infinite number of distinct symmetry configurations.

Venue: Hybrid seminar at UdeM, Pavillon André-Aisenstadt, room 5183