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pro vyhledávání: '"Kung-Ching Chang"'
ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences o
Publikováno v:
Science China Mathematics. 64:1-32
Existing critical point theories including metric and topological critical point theories are difficult to be applied directly to some concrete problems in particular polyhedral settings, because the notions of critical sets could be either very vagu
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:3171-3200
The strong version of the Krein-Rutman theorem requires that the positive cone of the Banach space has nonempty interior and the compact map is strongly positive, mapping nonzero points in the cone into its interior. In this paper, we first generaliz
Autor:
Robert V Kohn, Yanyan Li, Peter Lax, Shmuel Agmon, Djairo Guedes de Figueiredo, Srinivasa S. R. Varadhan, Joseph J Kohn, Haim Brezis, Paul H Rabinowitz, Charles Fefferman, Shing-Tung Yau, David Kinderlehrer, Luis Caffarelli, Sergiu Klainerman, Wei-Ming Ni, Ivar Ekeland, Kung Ching Chang, Sun-Yung Alice Chang, Jalal Shatah, Fang-Hua Lin, Henri Berestycki, Gang Tian, Gabriella Tarantello, Isabella Birindelli
Publikováno v:
Notices of the American Mathematical Society. 68:1
Publikováno v:
Science China Mathematics. 60:1963-1980
This is primarily an expository paper surveying up-to-date known results on the spectral theory of 1-Laplacian on graphs and its applications to the Cheeger cut, maxcut and multi-cut problems. The structure of eigenspace, nodal domains, multiplicitie
A set-pair Lov\'asz extension is established to construct equivalent continuous optimization problems for graph $k$-cut problems.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9711da4ade87fc9b381bb788e9e58dc1
http://arxiv.org/abs/1803.05257
http://arxiv.org/abs/1803.05257
Autor:
Kung-Ching Chang
Publikováno v:
Journal of Graph Theory. 81:167-207
We develop a nonlinear spectral graph theory, in which the Laplace operator is replaced by the 1 - Laplacian Δ1. The eigenvalue problem is to solve a nonlinear system involving a set valued function. In the study, we investigate the structure of the
Autor:
Kung-ching Chang
This is based on the course'Calculus of Variations'taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material
Autor:
Kung-Ching Chang
Publikováno v:
Journal of Fixed Point Theory and Applications. 15:433-457
A unification version of the Perron–Frobenius theorem and the Krein–Rutman theorem for increasing, positively 1-homogeneous, compact mappings is given on ordered Banach spaces without monotonic norm. A Collatz-type minimax characterization of the