PUBLICATIONS

• Y.S. Choi and E.H. Kim,  `On the Existence of Positive Solutions of Quasilinear Elliptic Boundary Value Problems' , Journal of Differential Equations, 155, (1999), pp.423-442.

• Y.S. Choi and E.H. Kim, `On a Class of Semipositone Quasilinear Elliptic Boundary Value Problems',  Nonlinear Analysis TMA, vol 4617, pp.987-996, (2001).

• E.H. Kim, `Existence Results for Singular Anisotropic Quasilinear Elliptic Boundary Value Problems', Electronic Journal of Differential Equations, 2000 (2000), No.17, pp.1--17.

• S.Canic, B.L. Keyfitz  and  E.H. Kim, `Free Boundary Problems for the Unsteady Transonic Small Disturbance Equation: Transonic Regular Reflection',  Methods and Applications of Analysis: special issue in honor of Prof.Morawetz,  Vol 7, No.2, 2000, pp.313-336.

• S.Canic, B.L. Keyfitz  and  E.H. Kim, ` Weak Shock Reflection Modeled by the Unsteady Transonic Small Disturbance Equation',  the Proceedings of the 8th International Conference on Hyperbolic Problems (HYP2000), Vol. 140(2001), pp.227-236.

•  S.Canic, B.L. Keyfitz and E.H. Kim, `A Free Boundary Problem for a Quasilinear Degenerate Elliptic Equation: Regular Reflection of Weak Shock',  Communications on Pure and Applied Mathematics, 55 (2002), no 1, pp.71-92. pdf

• S.Canic and E.H. Kim,  `A Class of Quasilinear Degenerate Elliptic Problems', Journal of Differential Equations, 189/1 (2003) 71-98. pdf

• S.Canic and E.H. Kim, `A mathematical analysis of the quasilinear effects in a hyperbolic model of blood flow through compliant vessels', Mathematical Methods in the Applied Sciences, Vol 26, No.14,(2003) 1161-1186. pdf

• S.Canic, B.L. Keyfitz and E.H. Kim, 'Mixed hyperbolic-elliptic systems in self-similar flow', Sociedade Brasileira de Matematica, Vol. 32, No.3, 1-23, (2001).

•  E.H. Kim, `Boundary behaviors and uniqueness of solutions for a class of
  quasilinear degenerate elliptic equations',  Communications on Applied Nonlinear Analysis, Vol. 10, No.2,(2003) 107-117. ps

• E.H. Kim and K.Song, 'Classical solutions for the pressure-gradient equations in non-smooth and non-convex domains', Journal of Mathematical Analysis and Applications, 293(2004) 541-550. pdf

•  E.H. Kim, `A class of singular Gierer-Meinhardt systems of elliptic boundary value problems',  Nonlinear Analysis TMA, 59(2004) 305--318.

• S.Canic, B.L. Keyfitz and E.H. Kim, `Free boundary value problems for nonlinear wave systems: Interacting shocks',  SIAM Journal of Mathematical Analysis, Vol.37, No.6, 1947--1977, 2006.

• E.H. Kim, 'Free boundary and mixed boundary value problems for quasilinear elliptic equations: tangential oblique derivative and degenerate Dirichlet boundary problems', Journal of Differential Equations, 211(2005) 407--451.

• E.H. Kim, 'Singular Gierer-Meinhardt systems of elliptic boundary value problems', Journal of Mathematical Analysis and Applications, 308(2005) 1-10.
  

• E.H. Kim, 'A steady state system of morphogen gradients for semilinear elliptic systems', Electronic Journal of Differential Equations, Vol.2005(2005), No. 62, 1--9.
  

• E.H. Kim, 'Higher regularity for free boundary and tangential derivative problems and global solutions to regular reflections for the unsteady transonic small disturbance (UTSD) equations', Nonlinear Analysis TMA, 64(4), (2006) 844--855

•  E.H. Kim, 'Subsonic solutions for compressible transonic potential flows', Journal of Differential Equations, 233 (1), (2007) 276–290.

• E.H. Kim, 'Subsonic solutions to compressible transonic potential problems for isothermal self-similar flows and steady flows'. Journal of Differential Equations, 233(2), (2007) 601–621.

• D. Darjany (undergraduate student, B. Englert and E.H. Kim,
  'Implementing overlapping domain decomposition methods on a virtual parallel machine'.
  Proceedings of 1st International Workshop on Parallel and Distributed Computing in Engineering (PDCE-ISPA 2006), Lecture Notes in Computer Science, http://dx.doi.org/10.1007/11942634_74

• E.H. Kim, 'Existence and stability of perturbed transonic shocks for compressible steady potential flow', Nonlinear Analysis TMA , (2007) doi:10.1016/j.na.2007.07.058

• E.H. Kim, `Boundary gradient estimates for subsonic solutions of compressible transonic potential flows', Discrete and Continuous Dynamical Systems, (2007) to appear.