**Submitted**

- H.Kim, H.Kwon,
*Dirichlet and Neumann problems for elliptic equations with singular drifts on Lipschitz domains*, arXiv:1811.12619 - H.Kim, T.-P. Tsai,
*Existence, uniqueness, and regularity results for elliptic equations with drift terms in critical weak spaces*, arXiv:1811.03201

**Published**

- B. Kang, H. Kim,
*On -Resolvent Estimates for Second-Order Elliptic Equations in Divergence Form*, Potential Anal. (2018) - B. Kang, H. Kim,
*-estimates for elliptic equations with lower order terms*. Commun. Pure Appl. Anal. 16 (2017), no. 3, 799–821. - D. Kim, H. Kim,
*Very weak solutions of the stationary Navier-Stokes equations for an incompressible fluid past obstacles*. Nonlinear Anal. 147 (2016), 145–168. - D. Kim, H. Kim, S. Park,
*Very weak solutions of the stationary Stokes equations on exterior domains*. Adv. Differential Equations 20 (2015), no. 11-12, 1119–1164. - H. Kim, Y-H. Kim,
*On weak solutions of elliptic equations with singular drifts*. SIAM J. Math. Anal. 47 (2015), no. 2, 1271–1290. - D. Kim, H. Kim,
*-estimates for the stationary Oseen equations on exterior domains.*J. Differential Equations 257 (2014), no. 10, 3669–3699. - H. Heck, H. Kim, H. Kozono,
*Weak solutions of the stationary Navier-Stokes equations for a viscous incompressible fluid past an obstacle*. Math. Ann. 356 (2013), no. 2, 653–681. - H. Kim, H. Kozono,
*On the stationary Navier-Stokes equations in exterior domains*. J. Math. Anal. Appl. 395 (2012), no. 2, 486–495. - H. Heck, H. Kim, H. Kozono,
*On the stationary Navier-Stokes flows around a rotating body*. Manuscripta Math. 138 (2012), no. 3-4, 315–345. - H. Kim,
*The existence and uniqueness of very weak solutions of the stationary Boussinesq system*. Nonlinear Anal. 75 (2012), no. 1, 317–330. - H. J. Choe, H. Kim,
*Dirichlet problem for the stationary Navier-Stokes system on Lipschitz domains*. Comm. Partial Differential Equations 36 (2011), no. 11, 1919–1944. - H. Kim,
*On very weak solutions of the stationary Navier-Stokes equations*. Ann. Univ. Ferrara Sez. VII Sci. Mat. 55 (2009), no. 2, 279–287. - H. J. Choe, H. Kim,
*Homogenization of the non-stationary Stokes equations with periodic viscosity*. J. Korean Math. Soc. 46 (2009), no. 5, 1041–1069. - H. Heck, H. Kim, H. Kozono,
*Stability of plane Couette*flows*with respect to small periodic perturbations*. Nonlinear Anal. 71 (2009), no. 9, 3739–3758. - H. Kim,
*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). - Y. Cho, H. Kim,
*Existence result for heat-conducting viscous incompressible fluids with*vacuum. J. Korean Math. Soc. 45 (2008), no. 3, 645–681. - Y. Cho, H. Kim,
*Existence results for viscous polytropic fluids with*vacuum. J. Differential Equations 228 (2006), no. 2, 377–411. - Y. Cho, H. Kim,
*On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities*. Manuscripta Math. 120 (2006), no. 1, 91–129. - H. Kim,
*A blow-up criterion for the nonhomogeneous incompressible Navier-Stokes equations*. SIAM J. Math. Anal. 37 (2006), no. 5, 1417–1434. - H. Kim, H. Kozono,
*A removable isolated singularity theorem for the stationary Navier-Stokes equations*. J. Differential Equations 220 (2006), no. 1, 68–84. - H. Kim, J. Lee,
*The incompressible limits of viscous polytropic fluids with zero thermal conductivity coefficient*. Comm. Partial Differential Equations 30 (2005), no. 7-9, 1169–1189. - H. J. Choe, H. Kim,
*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. - Y. Cho, H. Kim,
*Unique solvability for the density-dependent Navier-Stokes equations*. Nonlinear Anal. 59 (2004), no. 4, 465–489. - H. Kim, H. Kozono,
*Interior regularity criteria in weak spaces for the Navier-Stokes equations*. Manuscripta Math. 115 (2004), no. 1, 85–100. - Y. Cho, Choe, Hi Jun, H. Kim,
*Unique solvability of the initial boundary value problems for compressible viscous fluids*. J. Math. Pures Appl. (9) 83 (2004), no. 2, 243–275. - H. J. Choe, H. Kim,
*Strong solutions of the Navier-Stokes equations for nonhomogeneous incompressible fluids*. Comm. Partial Differential Equations 28 (2003), no. 5-6, 1183–1201. - H. J. Choe, H. Kim,
*Strong solutions of the Navier-Stokes equations for isentropic compressible fluids*. J. Differential Equations 190 (2003), no. 2, 504–523. - H. J. Choe, H. Kim,
*Isolated singularity for the stationary Navier-Stokes system*. J. Math. Fluid Mech. 2 (2000), no. 2, 151–184. - H. Kim, J. K. Seo,
*Identification problems in linear elasticity*. J. Math. Anal. Appl. 215 (1997), no. 2, 514–531. - H. Kim, J. K. Seo,
*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.