지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2024.1
- 수록면
- 133 - 147 (15page)
- DOI
- 10.4134/JKMS.j230254
이용수
초록· 키워드
오류제보하기
Let $G=(V,E)$ be a connected finite graph. We study the existence of solutions for the following generalized Chern-Simons equation on $G$ \begin{equation*} \Delta u=\lambda \mathrm{e}^{u}\left(\mathrm{e}^{u}-1\right)^{5}+4 \pi \sum_{s=1}^{N} \delta_{p_{s}}, \end{equation*} where $\lambda>0$, $\delta_{p_{s}}$ is the Dirac mass at the vertex $p_s$, and $p_1, p_2,\dots, p_N$ are arbitrarily chosen distinct vertices on the graph. We show that there exists a critical value $\hat{\lambda}$ such that when $\lambda > \hat{\lambda}$, the generalized Chern-Simons equation has at least two solutions, when $\lambda = \hat{\lambda}$, the generalized Chern-Simons equation has a solution, and when $\lambda < \hat\lambda$, the generalized Chern-Simons equation has no solution.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Generalized $(\Lambda,b)$-closed sets in topological spaces
한국수학논문집
2017 .01
-
Local Existence of Chern-Simons Gauged $O(3)$ Sigma Equations
East Asian Mathematical Journal
2021 .09
-
$b$-generalized derivations on multilinear polynomials in prime rings
대한수학회보
2018 .01
-
Remarks on nontopological solutions in the self-dual Chern-Simons gauged $O(3)$ sigma models
대한수학회보
2016 .01
-
Nehari manifold and multiplicity results for a class of fractional boundary value problems with $p$-Laplacian
대한수학회보
2019 .01
-
Positive solutions to p-Kirchhoff-type elliptic equation with general subcritical growth
대한수학회보
2017 .01
-
The Chern Sectional Curvature of a Hermitian Manifold
대한수학회보
2024 .07
-
On the extension dimension of module categories
대한수학회지
2020 .01
-
Random sampling and reconstruction of signals with finite rate of innovation
대한수학회보
2022 .03
-
$I_{\lambda}$-convergence in intuitionistic fuzzy $n$-normed linear space
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
2017 .01
-
Modified information criterion for testing changes in generalized lambda distribution model based on confidence distribution
CSAM(Communications for Statistical Applications and Methods)
2022 .05
-
Nonrelativistic limit of Chern-Simons gauged field equations
대한수학회논문집
2018 .01
-
Existence theorem for non-Abelian vortices in the Aharony-Bergman-Jafferis-Maldacena theory
대한수학회보
2017 .01
-
More relations between $\lambda$-labeling and Hamiltonian paths with emphasis on line graph of bipartite multigraphs
대한수학회보
2022 .01
-
Existence, multiplicity and regularity of solutions for the fractional $p$-Laplacian equation
대한수학회지
2020 .01
-
On lambda-submodules and locally torsion free modules
Proceedings of the Jangjeon Mathematical Society
2024 .04
-
Positive solution and ground state solution for a Kirchhoff type equation with critical growth
대한수학회보
2022 .07
-
Approximation properties of pairs of subspaces
대한수학회보
2019 .01
-
Distance two labeling on the square of a cycle
한국수학논문집
2015 .01
-
Maps preserving generalized projection \\operators
대한수학회논문집
2024 .07
최근 본 자료
댓글(0)
0