교수소개

교수소개

교수소개
김연호 사진
김연호
  • 학위: 박사
  • 연구실 : (M관)월해관 (M314)
  • 연락처 : 02-781-7504
  • 세부전공 : 비선형함수해석학/편미분방정식
이메일
학위
  • 박사, 성균관대학교(자연과학캠퍼스) 수학과 (세부전공 : 비선형함수해석학), 200908
  • 석사, 성균관대학교(자연과학캠퍼스) 수학과 (세부전공 : 비선형함수해석학), 200402
  • 학사, 성균관대학교(자연과학캠퍼스) 수학과 (세부전공 : 수학), 200202
경력
  • 정회원, 대한수학회, (2012.~ )
  • 부교수, 상명대학교, (2011.~ )
  • 방문조교수, University of Iowa, (2010.~2011.)
  • 방문조교수, University of Iowa, (2009.09~2010.08)
논문
  • The concentration-compactness principles for $W^{s,p(\cdot,\cdot)}(\mathbb{R}^N)$ and application, Advances in Nonlinear Analysis, 202012
  • RADIALLY SYMMETRIC SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS INVOLVING NONHOMOGENEOUS OPERATORS IN AN ORLICZ-SOBOLEV SPACE SETTING, ACTA MATHEMATICA SCIENTIA, 202011
  • Existence, multiplicity and regularity of solutions for the fractional p-Laplacian equation, J. Korean Math. Soc., 202011
  • Existence and Multiplicity of Solutions to a Class of Fractional p-Laplacian Equations of Schrödinger-Type with Concave-Convex Nonlinearities in R^N, mathematics, 202010
  • Existence and multiplicity of solutions for Schr\"{o}dinger-Kirchhoff type problems involving the fractional $p(\cdot)$-Laplacian in $\Bbb R^{N}$, Boundary Value Problems, 202007
  • (with Jun Ik Lee, Jae-Myoung Kim, Jongrak Lee) Multiplicity of weak solutions to non-local elliptic equations involving the fractional $p(x)$-Laplacian, Journal of Mathematical Physics, 20200131
  • (with Jun Ik Lee) Multiplicity of radially symmetric small energy solutions for quasilinear elliptic equations involving nonhomogeneous operators, Mathematics, 20200115
  • (with I.H. Kim, J.-H. Bae) Existence of a weak solution for discontinuous elliptic problems involving the fractional $p(\cdot)$-Laplacian, J. Nonlinear Convex Anal., 20200101
  • Existence of Small-Energy Solutions to Nonlocal Schrodinger-Type Equations for Integrodifferential Operators in $\Bbb R^{N}$, Symmetry, 201912
  • (with J.-M. Kim, J. Lee) Existence of weak solutions to a class of Schr\"{o}dinger type equations involving the fractional p-Laplacian in $\Bbb R^{N}$., J. Korean Math. Soc., 20191101
  • (with Ky Ho) A-priori bounds and multiplicity of solutions for nonlinear elliptic problems involving the fractional $p(\cdot)$-Laplacian, Nonlinear Analysis, 20191101
  • (with K. Ho and I. Sim) Existence results for Schr\"odinger $p(\cdot)$-Laplace equations involving critical growth in $\mathbb{R}^N$, Nonlinear Analysis, 20190501
  • (with J. Lee, J.-M. Kim) Existence and multiplicity of solutions for Kirchhoff-Schr\"{o}dinger type equations involving p(x)-Laplacian on the entire space R^{N}, Nonlinear Anal. Real World Appl., 20190201
  • (with J.-H. Bae) Critical points theorems via the generalized Ekeland variational principle and its application to equations of p(x)-Laplace type in R^{N}, in press, Taiwanese Journal of Mathematics, 20190201
  • (with J.-H. Bae) Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian, Electronic Journal of Differential Equations, 20190130
  • (with I.H. Kim, K. Park) On discontinuous elliptic problems involving the fractional p-Laplacian in R^{N}, Bull. Korean Math. Soc., 20181101
  • (with J. Lee, J.-M. Kim) Multiplicity of small or large energy solutions for Kirchhoff-Schr\"{o}dinger-type equations involving the fractional $p$-Laplacian in $\Bbb R^{N}$, Symmetry, 201810
  • Infinitely many small energy solutions for equations involving the fractional Laplacian in R^{N}, J. Korean Math. Soc., 201809
  • Existence of a weak solution for the fractional p-Laplacian equations with discontinuous nonlinearities via the Berkovits-Tienari degree theory, Topol. Methods Nonlinear Anal., 201806
  • Existence of three solutions for equations involving nonhomogeneous operators of p(x)-Laplace type on the whole space R^{N}, Far East Journal of Mathematical Sciences, 201805
  • (with J.-M. Kim, J. Lee) Existence and multiplicity of solutions for equations of p(x)-Laplace type in R^{N} without AR-condition, Differential Integral Equations, 201805
  • (with E. B. Choi, J.-M. Kim) Infinitely many solutions for nonlinear elliptic equations of p(x)-Laplace type without the Ambrosetti and Rabinowitz condition, Proceedings of the Royal Society of Edinburgh, Section: A Mathematics, 201802
  • A global bifurcation for nonlinear elliptic equations involving nonhomogeneous operators of p(x)-Laplace type, Advanced Studies in Contemporary Mathematics, 201801
  • (with J.-H. Bae, J. Lee) The existence of infinitely many solutions for nonlinear elliptic equations involving p-Laplace type operators in R^{N}, J. Nonlinear Sci. Appl., 201704
  • (with S.D. Lee) Existence of three solutions for equations of p(x)-Laplace type, Proceedings of the Jangjeon Mathematical Society, 201704
  • (with Juan A. Gatica) Positive Solutions of Superlinear and Sublinear Boundary Value Problems, Korean J. Math., 201703
  • (with K. Park) Multiple solutions for equations of p(x)-Laplace type with nonlinear Neumann boundary condition, Bull. Korean Math. Soc., 201701
  • (ith I. H. Kim, K. Park) Existence of three solutions for equations of p(x)-Laplace type operators with nonlinear Neumann boundary conditions, Bound. Value Probl., 201612
  • (with J. Lee) Multiplicity results for nonlinear Neumann boundary value problems involving p-Laplace type operators, Bound. Value Probl., 201605
  • (with J. S. Lee) Existence and multiplicity for nonlinear elliptic equations of p-Laplace type operators type in R^{N}, Filomat, 201605
  • (with E. B. Choi) Existence of nontrivial solutions for equations of p(x)-Laplace type without Ambrosetti and Rabinowitz condition, Discrete and Continuous Dynamical Systems, AIMS Proceedings, 201511
  • (with I. H. Kim) Mountain pass type solutions and positivity of the infimum eigenvalue for quasilinear elliptic equations with variable exponents, Maunscripta Math., 201505
  • (with S. D. Lee, K. Park) Existence and multiplicity of solutions for equations involving nonhomogeneous operators of p(x)-Laplace type in R^{N}, Bound. Value Probl., 201412
  • (with C. Zhang, L. Wang, S. Zhou) Global gradient estimates for p(x)-Laplace equation in non-smooth domains, Communications on Pure and Applied Analysis, 201411
  • (with E. B. Choi) Three solutions for equations involving nonhomogeneous operators of p-Laplace type in R^{N}, J. Inequal. Appl., 201410
  • Existence of a positive infimum eigenvalue for the p(x)-Laplacian Neumann problems with weighted functions, Korean J. Math., 201409
  • (with B. -H. Hwang, S. D. Lee) Existence of an unbounded branch of the set of solutions for equations of a Neumann problem involving the p(x)-Laplacian, Bound. Value Probl., 201405
  • Existence of an unbounded branch of the set of solutions for equations of p(x)-Laplace type, Bound. Value Probl., 201401
  • (with I. Sim) Existence of solutions and positivity of the infimum eigenvalue for degenerate elliptic equations with variable exponents, Discrete and Continuous Dynamical Systems, Supplement 2013, 201311
  • (with I. H. Kim) Positivity of the infimum eigenvalue for equations of p(x)-Laplace type in R^{N}, Bound. Value Probl., 201310
  • (with I.-S. Kim) Some fixed point theorems for countably 1-set contractive operators, J. Nonlinear Convex Anal., 201307
  • (with C. Zhang) Global solution branches for p(x)-Laplace equation, Proceedings of Nonlinear Analysis and Convex Analysis, 201111
  • (with L. Wang, C. Zhang) Global solution branches for elliptic equations with inclusions, J. Nonlinear Convex Anal., 201108
  • (with M. Vaeth) Global solution branches for equations involving nonhomogeneous operators of p-Laplace type, Nonlinear Anal., 201103
  • (with Juan A. Gatica) The invariance of domain theorem for countably 1-set-contractive mappings, Nonlinear Anal., 201012
  • (with Lihe Wang, Chao Zhang) Global bifurcation for a class of degenerate elliptic equations with variable exponents, J. Math. Anal. Appl., 201011
  • (with In-Sook Kim) Global bifurcation for Neumann problems involving nonhomogeneous operators, Fixed Point Theory, 20100901
  • (with In-Sook Kim) Global bifurcation for equations involving nonhomogeneous operators in an unbounded domain, Nonlinear Anal., 20100815
  • A global bifurcation for nonlinear equations with nonhomogeneous part, Nonlinear Anal., 20091215
  • (with In-Sook Kim) Global bifurcation of a Neumann problem, J. Nonlinear Convex Anal., 20091201
  • (with In-Sook Kim) Global bifurcation of the p-Laplacian in R^N, Nonlinear Anal., 20090401
  • (with In-Sook Kim, Sunghui Kwon) Eigenvalues of countably condensing maps, J. Korean Math. Soc., 20090301
  • (with In-Sook Kim) Global bifurcation for nonlinear equations, Nonlinear Anal., 20081015
  • (with In-Sook Kim) A global bifurcation for nonlinear inclusions, Nonlinear Anal., 20080701
저역서
  • 해석학 입문, 경문사, 2015
학술발표
  • Non-local elliptic equations involving the fractional p(x)-Laplacian, Center for Math Research and Education at PNU, 20191031
  • Multiplicity and regularity of solutions of elliptic equations involving the fractional p(x)-Laplacian, 인천대학교, 20191010
  • Fundamental embedding results on a new fractional Sobolev space and applications to nonlocal problems with variable exponents, Working Group on Applied Nonlinear Analysis, 20190912
  • Fundamental embedding results on the fractional Sobolev spaces with variable exponents and applications to the fractional p()-Laplacian problems, 대한 수학회, 20190420
  • Infinitely many small energy solutions for equations driven by non-local integro-differential operators in $\Bbb R^{N}$, The American Institute of Mathematical Sciences (AIMS), 20180707
  • Infinitely many small energy solutions for equations driven by non-local integro-differential operators in $\Bbb R^{N}$, American Institute of Mathematical Sciences, 20180707
  • Infinitely many small energy solutions for equations involving the fractional $p$-Laplacian in $\Bbb R^{N}$, 대한수학회, 20180421
  • Infinitely many small energy solutions for equations involving the fractional p-Laplacian in $\Bbb R^{N}$, 대한수학회, 20180421
  • 불연속 비선형항들을 갖는 분수적 p-라플라스 방정식에 대한 비자명해의 존재성, 대한수학회, 20161023
  • 불연속 비선형 항을 갖는 분수적 p-라플라스 방정식에 대한 약해의 존재성: 임계점 이론 대 사상도 이론, 전북대학교, 20160622
  • 일반화된 에클란트 변분법에 의한 임계점 정리들, 전북대학교, 20160621
  • 불연속 비선형항들을 갖는 분수적 p-라플라스 방정식에 대한 약해의 존재성, Lodz University of Technology, 20160616
  • 비유계 영역에서의 분수적 p-라플라스 방정식, 대한수학회, 20160423
  • 일반화된 에클란트 변분법에 의한 세개의 임계점 정리와 그의 적용, 대한수학회, 20160423
  • 노이만 경계조건을 갖는 p(x)-라플라스 형태의 비선형 타원 방정식에 대한 세개의 해의 존재성, 대한수학회, 20160423
  • p-라플라스 형태의 작용소를 포함하는 비선형 노이만 방정식에 대한 다중성 결과들, 대한수학회, 20160423
  • Infinitely many solutions for equations of p(x)-Laplace type, 서울대학교, 20151212
  • Existence and multiplicity of solutions for equations of p(x)-Laplace type without Ambrosetti and Rabinowitz-condition, Department of Mathematics, Morehouse College, 20150529
  • Multiplicity of nontrivial weak solutions for equations of p(x)-Laplace type, 대한수학회, 20150425
  • On nonlinear elliptic equations of p(x)-Laplace type without Ambrosetti and Rabinowitz condition, Naresuan University, 20150123
  • On nonlinear elliptic equations of p(x)-Laplace type satisfying Cerami condition, American Institute of Mathematical Siences, 20140709
  • On elliptic equations of $p(x)$-Laplacian type subject to Dirichlet boundary condition, 대한수학회, 20131025
  • On quasilinear elliptic equations with variable exponents, Pacific Rim Mathematical Association, 20130627
  • R^N에서 p(x)-라플라스 방정식에 대한 가장 작은 고유값의 양의 존재성, Texas A&M University Kingsville, 20121220
  • 다양한 지수를 갖는 노이만 경계 조건 문제, The International Federation of Nonlinear Analysts, 20120626
  • 다양한 지수를 갖는 타원 방정식에 대한 고유값 문제, 대한수학회, 20120428
  • A global bifurcation for p(x)-Laplace equation, 부경대학교, 20110803
  • Existence of an unbounded branch of the set of solutions for elliptic equations with variable exponents, 부산대학교 자연과학대학 수학과, 20110623
  • Global solution branches for p(x)-Laplace equation, 대한수학회, 20110430
  • Global bifurcation for Neumann problems involving nonhomogeneous operators, UNIVERSITY OF CATANIA, 20090624
  • Some bifurcation theory for nonlinear equations, Sungkyunkwan University, 20081210
  • A global bifurcation for the $p$-Laplacian in an unbounded domain, 대한수학회, 20081023
  • A global bifurcation for equations involving nonhomogeneous operators in $\Bbb R^{N}$, Tokyo Institute of Technology, 20080915
  • A global bifurcation for nonlinear equations with nonhomogeneous part, The International Federation of Nonlinear Analysts (IFNA), 20080708
  • Global solution branches for equations involving nonhomogeneous operators of $p$-Laplace type, The Korean Math. Soc., 20080426
  • Bifurcation problems for equations involving nonhomogeneous operators, Kangwon-Kyungki Mathematical Society, 20080215
  • Global bifurcation for nonlinear equations, Kyungnam-Gyeongsang National University, 20070727
  • A global bifurcation for inclusions, Kangwon-Kyungki Mathematical Society, 20070621
프로젝트
  • 다양한 지수들을 갖는 비국소 작용소를 포함하는 타원 방정식, 한국연구재단/이공학 개인기초연구지원사업-기본연구, (2019.06~2022.02)
  • 비유계 영역 상에서 분수적 p-라플라스 작용소의 방정식, 한국연구재단/이공학 개인기초연구지원사업-기본연구, (2016.11~2019.10)
  • 비유계 영역 상에서 p(x)-라플라스 형태의 방정식, 한국연구재단/일반연구자지원사업-기본연구, (2014.11~2017.04)
  • 비 유계 영역 상에서의 다양한 지수를 갖는 타원 방정식, 한국연구재단/일반연구자지원사업-기본연구, (2012.09~2014.08)
  • 2009년도 한국연구재단 학문후속세대양성사업선정, University of lowa (직위 : 방문조교수), (2009.09~2010.08)
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