My research interests are nonlinear eigenvalue problems including bifurcation theory, applications to elliptic boundary value problems involving the p-Laplacian in a bounded or unbounded domain. Recently we are concerned with semi-linear equations with symmetric or non-symmetric linear part, where the method is to use the degree theory for appropriate classes of nonlinear operators.
Education
1995 PhD Ludwig-Maximilians University of Muenchen, Germany
1990 MSc Ludwig-Maximilians University of Muenchen, Germany
1980 BSc Sungkyunkwan University
Experience
2012 Oct ~ 2012 Nov Visiting Professor, Free University of Berlin, Germany
2005 July ~ 2006 July Visiting Professor, Ludwig-Maximilians University of Muenchen, Germany
1997 Mar ~ present Professor, Department of Mathematics, Sungkyunkwan University
2012 Oct – 2012 Nov Visiting Professor, Free University of Berlin, Germany
2005 July – 2006 July Visiting Professor, Ludwig-Maximilians University of Muenchen, Germany
1997 Mar – present Professor, Department of Mathematics, Sungkyunkwan University
1996 Mar – 1997 Feb Postdoctoral Member of Seoul National University
Journal Articles
(2022)
Remarks on saddle points of vector-valued functions.
Results in Nonlinear Analysis.
5,
1
(2021)
SEMILINEAR PROBLEMS WITH A NORMAL LINEAR PART.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
22,
5
(2020)
DEGREE THEORY FOR SET-VALUED OPERATORS OF MONOTONE TYPE IN REFLEXIVE BANACH SPACES.
Nonlinear Functional Analysis and Applications.
25,
3
(2020)
Variational inequalities with the duality operator in banach spaces.
Results in Nonlinear Analysis.
3,
2
(2019)
SEMILINEAR INCLUSIONS WITH A NON-SYMMETRIC LINEAR PART.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
20,
4
(2018)
MULTIPLE SOLUTIONS FOR SEMILINEAR EQUATIONS WITH DISCONTINUOUS NONLINEARITIES CROSSING ONE SIMPLE EIGENVALUE.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
19,
8
(2018)
Some surjectivity results for operators of generalized monotone type via a topological degree.
CARPATHIAN JOURNAL OF MATHEMATICS.
34,
3
(2018)
NONTRIVIAL SOLUTIONS FOR SEMILINEAR EQUATIONS WITH A DISCONTINUOUS NONLINEAR TERM.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
19,
4
(2017)
Semilinear systems with a multi-valued nonlinear term.
OPEN MATHEMATICS.
15,
(2017)
Topological degree and applications to elliptic problems with discontinuous nonlinearity.
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS.
10,
2
(2016)
A DEGREE THEORY FOR VARIATIONAL INEQUALITIES WITH SUMS OF MAXIMAL MONOTONE AND (S+) OPERATORS.
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS.
47,
2
(2016)
ELLIPTIC BOUNDARY VALUE PROBLEMS WITH DISCONTINUOUS NONLINEARITIES.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
17,
1
(2015)
A topological degree for operators of generalized (S_+) type.
FIXED POINT THEORY AND APPLICATIONS.
2015,
1
(2015)
Periodic solutions of semilinear wave equations with discontinuous nonlinearities.
BOUNDARY VALUE PROBLEMS.
2015,
1
(2015)
RANGES OF PERTURBED QUASIBOUNDED MAXIMAL MONOTONE OPERATORS.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
16,
8
(2014)
The Krasnosel'skij-Quittner Formula and Instability of a Reaction-Diffusion System with Unilateral Obstacles.
DYNAMICS OF PARTIAL DIFFERENTIAL EQUATIONS.
11,
3
(2014)
Eigenvalues of quasibounded maximal monotone operators.
JOURNAL OF INEQUALITIES AND APPLICATIONS.
2014,
1
(2013)
SOME FIXED POINT THEOREMS FOR COUNTABLY 1-SET CONTRACTIVE OPERATORS.
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS.
14,
3
(2013)
Eigenvalue results for pseudomonotone perturbations of maximal monotone operators.
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS.
11,
5
(2013)
Some eigenvalue results for perturbations of maximal monotone operators.
JOURNAL OF INEQUALITIES AND APPLICATIONS.
2013,
1
Publications
(2005)
미분적분학.
경문사.
Co-author
Conference Paper
(2019)
Semilinear equations with a normal linear part.
The 11th International Conference on Nonlinear Analysis and Convex Analysis and the International Conference on Optimization: Techniques and Applications.
JAPAN
(2018)
Semilinear problems with a set-valued nonlinear part.
The Sixth Asian Conference on Nonlinear Analysis and Optimization.
JAPAN
(2018)
Semilinear problems with a non-symmetric linear part.
The 18th International Conference on Computational and Mathematical Methods in Science and Engineering.
SPAIN
(2017)
Semilinear equations with a multi-valued nonlinear part.
The Tenth International Conference on Nonlinear Analysis and Convex Analysis.
JAPAN
(2016)
Semilinear problems with discontinuous nonlinearities.
International Workshp on Fixed Point Theory and its Applications, KIAS Open Research Station Program.
KOREA, REPUBLIC OF
(2015)
Elliptic boundary value problems involving discontinuous nonlinearities.
The Ninth International Conference on Nonlinear Analysis and Convex Analysis.
THAILAND
(2014)
Some surjectivity results on maximal monotone operators.
The 22nd International Conference on Finite or Infinite Dimensional Complex Analysis and Applications.
KOREA, REPUBLIC OF
(2014)
Nonlinear eigenvalue problems for the p-Laplacian in weighted Sobolev spaces.
Proceedings of the Third Asian Conference on Nonlinear Analysis and Optimization.
JAPAN
(2013)
Some eigenvalue results for strongly quasibounded maximal monotone operators.
The Eighth International Conference on Nonlinear Analysis and Convex Analysis.
JAPAN
(2013)
Solvability of a nonlinear inclusion about maximal monotone operators.
The Eighth International Conference on Nonlinear Analysis and Convex Analysis.
JAPAN
(2013)
The invariance of domain theorem for perturbed maximal monotone operators.
Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis.
KOREA, REPUBLIC OF
(2013)
The invariance of domain theorem for perturbed maximal monotone operators.
Proceedings of the 7th International Conference on Nonlinear Analysis and Convex Analysis.
KOREA, REPUBLIC OF
(2012)
Nonlinear eigenvalue problems for the p-Laplacian in weighted Sobolev spaces.
The Third Asian Conference on Nonlinear Analysis and Optimization.
JAPAN
(2012)
Eigenvalue problems for nonlinear maximal monotone operators.
The Tenth International Conference on Fixed
Point Theory and its Applications.
ROMANIA
(2011)
Eigenvalue problems for nonlinear operators.
The Seventh International Conference on Nonlinear Analysis and Convex Analysis.
KOREA, REPUBLIC OF
(2009)
Comments on a global bifurcation result of Rabinowitz.
Proceedings of the Asian Conference on Nonlinear Analysis and Optimization.
JAPAN
(2009)
Bifurcation problems for generalized Laplace operators.
The 9th International Conference on Fixed Point Theory and its Applications.
TAIWAN
(2008)
A global bifurcation for the p-Laplacian in an bounded domain.
2008 Global KMS International Conference.
KOREA, REPUBLIC OF
(2008)
Bifurcation problems for nonlinear equations.
2008 Global KMS International Conference.
KOREA, REPUBLIC OF
(2008)
Remarks on quasibounded nonlinear operators.
The Asian Conference on Nonlinear Analysis and Optimization.
JAPAN
