Partial Differential Equations > Research

Partial Differential Equations

$Soo-Hyun Bae$

Soohyun Bae

Research topics cover nonlinear differential equations and the applications to diverse fields which appear in the real world.

2003.03 – Present Professor, Department of Mathematical Sciences, Hanbat National University
1999.12 – 2003.02 Research Professor, Natural Science Research Institute, Yonsei University

Entire solutions with asymptotic self-similarity for elliptic equations with exponential nonlinearity, Journal of Mathematical Analysis and Applications 428 (2015), 1085–1116.
with Yuki Naito, Existence and separation of positive radial solutions for semilinear elliptic equations, Journal of Differential Equations 257 (2014), 2430–2463.
with Sun-Ho Choi and Seung-Yeal Ha, Dynamical instability of the Vlasov-Poisson-Boltzmann system in high dimensions, in: Hyperbolic Problems: Theory, Numerics, Applications, in: AIMS Appl. Math., vol.8, 2014, pp. 125-146.
Classification of positive solutions of semilinear elliptic equations with Hardy term, Discrete and Continuous Dynamical Systems, Supplement 2013, 31–39.
with Jaeyoung Byeon, Standing waves of nonlinear Schrodinger equations with optimal conditions for potential and nonlinearity, Communications on Pure and Applied Analysis 12(2) (2013), 831–850.
On the elliptic equation \Delta u + Ku^p =0 in R^n, Discrete and Continuous Dynamical Systems 33(2) (2013), 555–577.
with Rejeb Hadiji, Francois Vigneron and Habib Yazidi, A non-linear problem involving a critical Sobolev exponent, Journal of Mathematical Analysis and Applications 396 (2012), 98–107.
with Ohsang Kwon, Nonexistence of positive solutions of nonliner elliptic systems with potentials vanishing at infinity, Nonlinear Analysis TMA 75(10) (2012), 4025–4032.

2014 – 2017 NRF – 2014R1A1A2055953 – Existence and self-similarity of solutions for elliptic equations
2017 – 2022 NRF – 2017R1D1A1B04034508 – Characteristics of solutions for nonlinear elliptic equations