Special Session 33: Variational, Topological and Set-Valued Methods for Nonlinear Differential Problems
Concentration Phenomena and Multi-bump Structures in Logarithmic $p$-Laplacian Equations
Lin Li
Chongqing Technology and Business University Peoples Rep of China
Co-Author(s): Huo Tao, Patrick Winkert
Abstract:
This talk investigates a class of quasilinear Schr\{o}dinger equations involving the $p$-Laplacian operator and logarithmic nonlinearities. The presence of the singular term $u \log u^p$ renders the energy functional nonsmooth on standard Sobolev spaces, requiring the use of Szulkin's critical point theory and penalization methods.