- Kim, Hyunseok; Kwon, Hyunwoo Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domain. to appear in Trans. Amer. Math. Soc.
- Kim, Hyunseok; Tsai, Tai-Peng Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces. SIAM J. Math. Anal. 52 (2020), no. 2, 1146–1191.
- Kang, Byungsoo; Kim, Hyunseok On Lp-resolvent estimates for second-order elliptic equations in divergence form. Potential Anal. 50 (2019), no. 1, 107–133.
- Kang, Byungsoo; Kim, Hyunseok W1,p-estimates for elliptic equations with lower order terms. Commun. Pure Appl. Anal. 16 (2017), no. 3, 799–821.
- Kim, Dugyu; Kim, Hyunseok Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles. Nonlinear Anal. 147 (2016), 145–168.
- Kim, Dugyu; Kim, Hyunseok; Park, Sungyong Very weak solutions of the stationary Stokes equations on exterior domains. Adv. Differential Equations 20 (2015), no. 11-12, 1119–1164.
- Kim, Hyunseok; Kim, Young-Heon On weak solutions of elliptic equations with singular drifts. SIAM J. Math. Anal. 47 (2015), no. 2, 1271–1290.
- Kim, Dugyu; Kim, Hyunseok Lq-estimates for the stationary Oseen equations on exterior domains. J. Differential Equations 257 (2014), no. 10, 3669–3699.
- Heck, Horst; Kim, Hyunseok; Kozono, Hideo Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle. Math. Ann. 356 (2013), no. 2, 653–681.
- Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes equations in exterior domains. J. Math. Anal. Appl. 395 (2012), no. 2, 486–495.
- Heck, Horst; Kim, Hyunseok; Kozono, Hideo On the stationary Navier-Stokes flows around a rotating body. Manuscripta Math. 138 (2012), no. 3-4, 315–345.
- Kim, Hyunseok The existence and uniqueness of very weak solutions of the stationary Boussinesq system. Nonlinear Anal. 75 (2012), no. 1, 317–330.
- Choe, Hi Jun; Kim, Hyunseok Dirichlet problem for the stationary Navier-Stokes system on Lipschitz domains. Comm. Partial Differential Equations 36 (2011), no. 11, 1919–1944.
- Kim, Hyunseok On very weak solutions of the stationary Navier-Stokes equations. Ann. Univ. Ferrara Sez. VII Sci. Mat. 55 (2009), no. 2, 279–287.
- Choe, Hi Jun; Kim, Hyunseok Homogenization of the non-stationary Stokes equations with periodic viscosity. J. Korean Math. Soc. 46 (2009), no. 5, 1041–1069.
- Heck, Horst; Kim, Hyunseok; Kozono, Hideo Stability of plane Couette flows with respect to small periodic perturbations. Nonlinear Anal. 71 (2009), no. 9, 3739–3758.
- Kim, Hyunseok Existence and regularity of very weak solutions of the stationary Navier-Stokes equations. Arch. Ration. Mech. Anal. 193 (2009), no. 1, 117–152. / Erratum: Arch. Ration. Mech. Anal. 196 (2010), no. 3, 1079–1080.
- Cho, Yonggeun; Kim, Hyunseok Existence result for heat-conducting viscous incompressible fluids with vacuum. J. Korean Math. Soc. 45 (2008), no. 3, 645–681.
- Cho, Yonggeun; Kim, Hyunseok Existence results for viscous polytropic fluids with vacuum. J. Differential Equations 228 (2006), no. 2, 377–411.
- Cho, Yonggeun; Kim, Hyunseok On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities. Manuscripta Math. 120 (2006), no. 1, 91–129.
- Kim, Hyunseok A blow-up criterion for the nonhomogeneous incompressible Navier-Stokes equations. SIAM J. Math. Anal. 37 (2006), no. 5, 1417–1434.
- Kim, Hyunseok; Kozono, Hideo A removable isolated singularity theorem for the stationary Navier-Stokes equations. J. Differential Equations 220 (2006), no. 1, 68–84.
- Kim, Hyunseok; Lee, Jihoon The incompressible limits of viscous polytropic fluids with zero thermal conductivity coefficient. Comm. Partial Differential Equations 30 (2005), no. 7-9, 1169–1189.
- Choe, Hi Jun; Kim, Hyunseok Global existence of the radially symmetric solutions of the Navier-Stokes equations for the isentropic compressible fluids. Math. Methods Appl. Sci. 28 (2005), no. 1, 1–28.
- Cho, Yonggeun; Kim, Hyunseok Unique solvability for the density-dependent Navier-Stokes equations. Nonlinear Anal. 59 (2004), no. 4, 465–489.
- Kim, Hyunseok; Kozono, Hideo Interior regularity criteria in weak spaces for the Navier-Stokes equations. Manuscripta Math. 115 (2004), no. 1, 85–100.
- Cho, Yonggeun; Choe, Hi Jun; Kim, Hyunseok Unique solvability of the initial boundary value problems for compressible viscous fluids. J. Math. Pures Appl. (9) 83 (2004), no. 2, 243–275.
- Choe, Hi Jun; Kim, Hyunseok Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids. Comm. Partial Differential Equations 28 (2003), no. 5-6, 1183–1201.
- Choe, Hi Jun; Kim, Hyunseok Strong solutions of the Navier-Stokes equations for isentropic compressible fluids. J. Differential Equations 190 (2003), no. 2, 504–523.
- Choe, Hi Jun; Kim, Hyunseok Isolated singularity for the stationary Navier-Stokes system. J. Math. Fluid Mech. 2 (2000), no. 2, 151–184.
- Kim, Hyunseok; Seo, Jin Keun Identification problems in linear elasticity. J. Math. Anal. Appl. 215 (1997), no. 2, 514–531.
- Kim, Hyunseok; Seo, Jin Keun Unique determination of a collection of a finite number of cracks from two boundary measurements. SIAM J. Math. Anal. 27 (1996), no. 5, 1336–1340.
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