Byeon, Jaeyoung (변재형)

Professor Xuefeng Wang is a renowned mathematician specializing in the field of nonlinear partial differential equations, particularly in the study of elliptic and parabolic equations. His research focuses on the existence, uniqueness, and qualitative properties of solutions to these equations, with a particular emphasis on problems involving singularities, critical exponents, and asymptotic behavior. He has made significant contributions to the understanding of standing wave solutions for nonlinear Schrödinger equations, including the analysis of multi-bump solutions, critical frequency phenomena, and the interplay between potential and nonlinearity. His work also extends to the study of singularly perturbed problems, variational methods, and the application of these techniques to problems in mathematical physics and geometry. Professor Wang has published extensively in top-tier mathematical journals and has been recognized for his contributions to the field through various awards and honors.