This is the personal academic webpage of Seunghyeok Kim, an Associate Professor in the Department of Mathematics at Hanyang University. His research focuses on the existence and asymptotic behaviors of solutions for elliptic and parabolic equations, particularly those arising from conformal geometry, utilizing pure variational methods, the Lyapunov-Schmidt reduction method, and the modulation argument.

이것은 한양대학교 수학과 김승혁 부교수의 개인 학술 웹페이지입니다. 그의 연구는 등각 기하학에서 발생하는 타원 방정식 및 포물선 방정식 해의 존재 및 점근적 행동에 중점을 두며, 순수 변분법, Lyapunov-Schmidt 환원법 및 변조 논증을 활용합니다.

Sharp quantitative stability of the Yamabe problem

Sharp quantitative stability estimates for the Brezis-Nirenberg problem

Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities

Sign-changing solutions for critical Hamiltonian systems in $\mathbb{R}^N$

Coron's problem for the critical Lane-Emden system

Asymptotic analysis on positive solutions of the Lane-Emden system with nearly critical exponents

Multiple blowing-up solutions to critical elliptic systems in bounded domains

Non-degeneracy for the critical Lane-Emden system

Asymptotic behavior of least energy solutions to the Lane-Emden system near critical hyperbola

Minimal energy solutions to the fractional Lane-Emden system: Existence and singularity formation

Compactness and non-compactness theorems of the fourth- and sixth-order constant Q-curvature problem

Weighted isoperimetric ratios and extension problems for conformal fractional Laplacians

Infinite-time blowing-up solutions to small perturbations of the Yamabe flow

Compactness of scalar-flat conformal metrics on low-dimensional manifolds with constant mean curvature on boundary

A compactness theorem of the fractional Yamabe problem, Part I: the non-umbilic conformal infinity

Conformal metrics with prescribed fractional scalar curvature on conformal infinities with positive fractional Yamabe constants

Linear perturbations of the fractional Yamabe problem on the minimal conformal infinity

Bubble-tower solutions to asymptotically critical nonlocal elliptic equations on conformal infinities

Existence theorems of the fractional Yamabe problem

A non-compactness result on the fractional Yamabe problem in large dimensions

Clustered solutions to low-order perturbations of fractional Yamabe equations

Nodal solutions for a Yamabe type equation

On perturbations of the fractional Yamabe problem

Classification of finite energy solutions to the fractional Lane-Emden-Fowler equations with slightly subcritical exponents

Qualitative properties of multi-bubble solutions for nonlinear elliptic equations involving critical exponents

Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian

Supercritical problems in domains with thin toroidal holes

Existence of clustering high dimensional bump solutions of superlinear elliptic problems on expanding annuli

Boundary towers of layers for some supercritical problems

Clustered boundary layer sign changing solutions for a supercritical problem

Solutions with a prescribed number of zeros for nonlinear Schrödinger systems

On vector solutions for coupled nonlinear Schrödinger equations with critical exponents

On nodal solutions of the nonlinear Schrödinger-Poisson equations

On nodal solutions of the nonlinear Schrödinger–Poisson equations

ON VECTOR SOLUTIONS FOR COUPLED NONLINEAR SCHRÖDINGER EQUATIONS WITH CRITICAL EXPONENTS.

Asymptotic behavior of least energy solutions to the Lane-Emden system near the critical hyperbola

A compactness theorem for the fractional Yamabe problem, Part I: The nonumbilic conformal infinity

Clustered boundary layer sign-changing solutions for a supercritical problem

Compactness and non-compactness theorems of the fourth- and sixth-order constant -curvature problems

Weighted isoperimetric ratios and extension problems for fractional conformal Laplacians

Conformal Metrics with Prescribed Fractional Scalar Curvature on Conformal Infinities with Positive Fractional Yamabe Constants

Non-degeneracy for the critical lane-emden system

A PERTURBATIVE APPROACH TO NON-DEGENERACY OF THE LANE-EMDEN SYSTEM

Minimal energy solutions to the fractional Lane–Emden system: Existence and singularity formation

A compactness theorem of the fractional yamabe problem, part I: The non-umbilic conformal infinity

Classification of finite energy solutions to the fractional Lane–Emden–Fowler equations with slightly subcritical exponents

CONFORMAL METRICS WITH PRESCRIBED FRACTIONAL SCALAR CURVATURE ON CONFORMAL INFINITIES WITH POSITIVE FRACTIONAL YAMABE CONSTANTS

On vector solutions for coupled nonlinear schrödinger equations with critical exponents

On nodal solutions of the nonlinear SchrödingerPoisson equations

Seunghyeok Kim

Associate Professor

Webpage of Seunghyeok Kim

교수님 소개

김승혁

연구실 소개

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Sharp quantitative stability estimates for the Brezis-Nirenberg problem

Weighted isoperimetric ratios and extension problems for conformal fractional Laplacians

Weighted isoperimetric ratios and extension problems for fractional conformal Laplacians

연구실 보유 특허

대학별 입시끈

우리 연구실 모집

교수님 소개

김승혁

연구실 키워드

알럼나이가 간 회사

연구실 지원 방법

대우 조건

연도별 논문 인용수

저널 & 학회 논문 출판 수

연구실 논문 목록

Sharp quantitative stability estimates for the Brezis-Nirenberg problem

Weighted isoperimetric ratios and extension problems for conformal fractional Laplacians

Weighted isoperimetric ratios and extension problems for fractional conformal Laplacians

연구실 보유 특허

최근 3년간 연구실적 높은 연구실

대학별 입시끈

우리 연구실 모집