수학교육과(서울) | 교수진

김연호

학위: 박사
연구실 : (M관)월해관 (M314)
연락처 : 02-781-7504
세부전공 : 비선형함수해석학/편미분방정식

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

Multiplicity Results of Solutions to the Double Phase Problems of Schrodinger–Kirchhoff Type with Concave–Convex Nonlinearities, Mathematics, 202312
Multiplicity of solutions to non-local problems of Kirchhoff type involving Hardy potential, AIMS MATHEMATICS, 202309
Multiple Solutions to a Non-Local Problem of Schrödinger-Kirchhoff Type in RN, FRACTAL AND FRACTIONAL, 202308
MULTIPLICITY RESULTS OF SOLUTIONS TO THE DOUBLE PHASE ANISOTROPIC VARIATIONAL PROBLEMS INVOLVING VARIABLE EXPONENT, ADVANCES IN DIFFERENTIAL EQUATIONS, 202305
Infinitely Many Small Energy Solutions to the Double Phase Anisotropic Variational Problems Involving Variable Exponent, AXIOMS, 202303
Multiple solutions to Kirchhoff-Schr\"{o}dinger equations involving the p(.)-Laplace-type operator, AIMS Mathematics, 202302
Infinitely Many Small Energy Solutions to Schrödinger-Kirchhoff Type Problems Involving the Fractional r(·)-Laplacian in RN, Fractal and Fractional, 202302
Convergence Analysis of a Power Penalty Approach for a Class of Nonlocal Double Phase Complementarity Systems, Journal of Geometric Analysis, 202301
Multiple solutions to the double phase problems involving concave-convex nonlinearities, AIMS Mathematics, 202212
Existence and multiplicity of solutions for nonlocal Schr\"{o}dinger--Kirchhoff equations with the external magnetic field, Dynamic Systems and Applications, 202211
Existence and multiplicity of solutions to concave–convex-type double-phase problems with variable exponent, Nonlinear Analysis: Real World Applications, 202210
Nonlocal Double Phase Complementarity Systems with Convection Term and mixed Boundary Conditions, Journal of Geometric Analysis, 202209
(with Ky Ho, Patrick Winkert, Chao Zhang) The boundedness and Hölder continuity of weak solutions to elliptic equations involving variable exponents and critical growth, Journal of Differential Equations, 202203
(Jongrak Lee; Jae-Myoung Kim; Andrea Scapellato) On multiple solutions to a non-local Fractional p(.)-Laplacian problem with concave-convex nonlinearities., Advances in Continuous and Discrete Models: Theory and Applications (Advances in Difference Equations), 202202
(with Seol Vin Kim) Existence and multiplicity of solutions for nonlocal Schrödinger–Kirchhoff equations of convex–concave type with the external magnetic field, AIMS Mathematics, 202201
(with Woo Jin Joe, Seong Jin Kim and Min Wook Oh) Multiplicity of solutions for double phase equations with concave-convex nonlinearities, Journal of Applied Analysis and Computation., 202112
(with In Hyoun Kim, Kisoeb Park) Multiplicity of solutions for quasilinear Schrodinger type equations with the concave-convex nonlinearities, J. Korean Math. Soc., 202111
(with Ky Ho and Jongrak Lee) Schrodinger p(.)-Laplace equations in R^N involving indefinite weights and critical growth, Journal of Mathematical Physics, 202111
The concentration-compactness principles for W-s,W-p(.,W-.) (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 Schrodinger-Type with Concave-Convex Nonlinearities in Double-struck capital R-N, MATHEMATICS, 202010
Existence and multiplicity of solutions for Schrodinger-Kirchhoff type problems involving the fractional p(.)-Laplacian in 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 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
(with Jun Ik Lee) Multiplicity of radially symmetric small energy solutions for quasilinear elliptic equations involving nonhomogeneous operators, Mathematics, 202001
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)