Publication
[2024]
Choi, Woocheol; Chun, Changbum; Jung, Yoon Mo; Yun, Sangwoon, On the linear convergence rate of Riemannian proximal gradient method, Optimization Letters (2024)
Choi, Hyung Jun; Choi, Woocheol; Seok, Jinmyoung, Non-ergodic linear convergence property of the delayed gradient descent under the strongly convexity and the Polyak-Lojasiewicz condition, Analysis and Applications, (2024)
Chung, Nhan-Phu; Trinh, Thanh-Son; Choi, Woocheol, Event-triggered bipartite consensus for multiagent system with general linear dynamics: an integral-type event triggered control, International Journal of Robust and Nonlinear Control (2024)
[2023]
Kim, Jimyeong; Choi, Woocheol, Gradient-push algorithm for distributed optimization with event-triggered communications, IEEE Access, vol. 11, pp. 517-534, 2023
Choi, Hyung Jun; Choi, Woocheol; Koh, Youngwoo, Convergence analysis of the splitting method to the nonlinear heat equation, Numerical Methods for Partial Differential Equations (2023)
Choi, Woocheol, Energy minimizing solutions to slightly subcritical elliptic problems on nonconvex polygonal domains. AIMS Math. 8 (2023), no. 11, 26134–26152.
[2022]
Choi, Woocheol; Kim, Doheon; Yun, Seok-Bae, Convergence results of a nested decentralized gradient method for non-strongly convex problems, Journal of Optimization Theory and Applications (2022)
Choi, Woocheol; Choi, Young-Pil, A sharp error analysis for the discontinuous Galerkin method of optimal control problems, AIMS Mathematics (2022), Volume 7, Issue 5: 9117-9155.
Park, Jinwoo, Choi, Woocheol, Kim Junghwa*, Allocation Modeling for Flex Zone on Curb Space Use in an Era of Autonomous Driving, Journal of Korean Society of Transportation. 31 October 2022. 750-761.
[2021]
Choi, Woocheol; Seok, Jinmyoung Limit behaviors of solutions to the pseudo-relativistic Lane-Emden equation. J. Math. Anal. Appl. 495 (2021), no. 1, 124726, 21 pp.
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation, Arch. Ration. Mech. Anal. 239 (2021), no. 2, 783–829.
Lee, Eun-ho; Choi, Woocheol, Asymptotic profile of solutions to the heat equation on thin plate with boundary heating, Appl. Math. Comput. 408 (2021).
Choi, Woocheol; Koh, Youngwoo, On the splitting method for the nonlinear Schrödinger equation with initial data in H1, to appear in Discrete and Continuous Dynamical Systems-A.
[2020]
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung On critical and supercritical pseudo-relativistic nonlinear Schrödinger equations. Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 3, 1241–1263.
Lee, Sanghyun; Choi, Woocheol Optimal error estimate of elliptic problems with Dirac sources for discontinuous and enriched Galerkin methods. Appl. Numer. Math. 150 (2020), 76–104.
[2019]
Choi, Woocheol; Kim, Seunghyeok Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola. J. Math. Pures Appl. (9) 132 (2019), 398–456.
Choi, Woocheol; Ponge, Raphaël Privileged coordinates and nilpotent approximation for Carnot manifolds, II. Carnot coordinates. J. Dyn. Control Syst. 25 (2019), no. 4, 631–670.
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Convergence rate of the finite element approximation for extremizers of Sobolev inequalities on 2D convex domains. Calcolo 56 (2019), no. 3, Paper No. 27, 21 pp.
Choi, Woocheol; Kim, Seunghyeok Minimal energy solutions to the fractional Lane-Emden system: existence and singularity formation. Rev. Mat. Iberoam. 35 (2019), no. 3, 731–766.
Choi, Woocheol; Ponge, Raphaël Privileged coordinates and nilpotent approximation of Carnot manifolds, I. General results. J. Dyn. Control Syst. 25 (2019), no. 1, 109–157.
Choi, Woocheol; Ponge, Raphaël Tangent maps and tangent groupoid for Carnot manifolds. Differential Geom. Appl. 62 (2019), 136–183.
[2018]
Choi, Woocheol; Kim, Yong-Cheol Lp mapping properties for nonlocal Schrödinger operators with certain potentials. Discrete Contin. Dyn. Syst. 38 (2018), no. 11, 5811–5834.
Choi, Woocheol; Kim, Yong-Cheol The Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with certain potentials. Commun. Pure Appl. Anal. 17 (2018), no. 5, 1993–2010.
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Semilinear elliptic equations with the pseudo-relativistic operator on a bounded domain. Nonlinear Anal. 173 (2018), 123–145.
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Uniqueness and symmetry of ground states for higher-order equations. Calc. Var. Partial Differential Equations 57 (2018), no. 3, Paper No. 77, 23 pp.
Choi, Hyung Jun; Choi, Woocheol; Koh, Youngwoo A finite element method for elliptic optimal control problem on a non-convex polygon with corner singularities. Comput. Math. Appl. 75 (2018), no. 1, 45–58.
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Optimal convergence rate and regularity of nonrelativistic limit for the nonlinear pseudo-relativistic equations. J. Funct. Anal. 274 (2018), no. 3, 695–722.
[2017]
Choi, Woocheol; Kim, Seunghyeok Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents. Ann. Mat. Pura Appl. (4) 196 (2017), no. 1, 269–308.
Choi, Woocheol; Kim, Seunghyeok On perturbations of the fractional Yamabe problem. Calc. Var. Partial Differential Equations 56 (2017), no. 1, Paper No. 14, 46 pp.
[2016]
Choi, Woocheol; Kim, Seunghyeok; Lee, Ki-Ahm Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents. Adv. Math. 298 (2016), 484–533.
Choi, Woocheol; Seok, Jinmyoung Nonrelativistic limit of standing waves for pseudo-relativistic nonlinear Schrödinger equations. J. Math. Phys. 57 (2016), no. 2, 021510, 15 pp.
[2015]
Choi, Woocheol Maximal functions for multipliers on stratified groups. Math. Nachr. 288 (2015), no. 10, 1098–1121.
Choi, Woocheol L2 and Hp boundedness of strongly singular operators and oscillating operators on Heisenberg groups. Forum Math. 27 (2015), no. 4, 2177–2216.
Choi, Woocheol Maximal functions of multipliers on compact manifolds without boundary. Commun. Pure Appl. Anal. 14 (2015), no. 5, 1885–1902.
Choi, Woocheol On strongly indefinite systems involving the fractional Laplacian. Nonlinear Anal. 120 (2015), 127–153.
[2014]
Choi, Woocheol; Kim, Seunghyeok; Lee, Ki-Ahm Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian. J. Funct. Anal. 266 (2014), no. 11.
Choi, Woocheol; Seok, Jinmyoung Limit behaviors of solutions to the pseudo-relativistic Lane-Emden equation. J. Math. Anal. Appl. 495 (2021), no. 1, 124726, 21 pp.