Results 91 to 100 of about 121,934 (291)
Existence of solutions to quasilinear elliptic systems with combined critical Sobolev-Hardy terms
This article is devoted to the study of multiple positive solutions to a singular elliptic system where the nonlinearity involves a combination of concave and convex terms.
Nemat Nyamoradi, Mohamad Javidi
doaj
The certainty principle II: Proof of the uncertainty principle [PDF]
A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.
arxiv
Existence of maximizers for Hardy-Littlewood-Sobolev inequalities on the Heisenberg group [PDF]
In this paper, we investigate the sharp Hardy-Littlewood-Sobolev inequalities on the Heisenberg group. On one hand, we apply the concentration compactness principle to prove the existence of the maximizers. While the approach here gives a different proof
Han, Xiaolong
core
Molecular and functional profiling unravels targetable vulnerabilities in colorectal cancer
We used whole exome and RNA‐sequencing to profile divergent genomic and transcriptomic landscapes of microsatellite stable (MSS) and microsatellite instable (MSI) colorectal cancer. Alterations were classified using a computational score for integrative cancer variant annotation and prioritization.
Efstathios‐Iason Vlachavas+15 more
wiley +1 more source
Uncertainty principles for the windowed offset linear canonical transform [PDF]
The windowed offset linear canonical transform (WOLCT) can be identified as a generalization of the windowed linear canonical transform (WLCT). In this paper, we generalize several different uncertainty principles for the WOLCT, including Heisenberg uncertainty principle, Hardy's uncertainty principle, Beurling's uncertainty principle, Lieb's ...
arxiv
This study used longitudinal transcriptomics and gene‐pattern classification to uncover patient‐specific mechanisms of chemotherapy resistance in breast cancer. Findings reveal preexisting drug‐tolerant states in primary tumors and diverse gene rewiring patterns across patients, converging on a few dysregulated functional modules. Despite receiving the
Maya Dadiani+14 more
wiley +1 more source
Multiple solutions of a p-Kirchhoff equation with singular and critical nonlinearities
In this article, we explore the existence of multiple solutions for a p-Kirchhoff equation with the nonlinearity containing both singular and critical terms.
Qin Li, Zuodong Yang, Zhaosheng Feng
doaj
The Aleph Cosmological Principle [PDF]
A general cosmological principle -- Aleph -- is proposed as a substitute to the Anthropic principle. Furthermore, the universe, conceived as a world ensemble, is characterized by many (possibly infinite) X-Life world principles. The only known X-Life world principle recovers much of the Anthropic conjecture.
arxiv
Understanding and measuring mechanical signals in the tumor stroma
This review discusses cancer‐associated fibroblast subtypes and their functions, particularly in relation to extracellular matrix production, as well as the development of 3D models to study tumor stroma mechanics in vitro. Several quantitative techniques to measure tissue mechanical properties are also described, to emphasize the diagnostic and ...
Fàtima de la Jara Ortiz+3 more
wiley +1 more source
In this paper, we prove the existence of positive ground state solutions of the Schrödinger–Poisson system involving a negative nonlocal term and critical exponent on a bounded domain.
Wenxuan Zheng, Wenbin Gan, Shibo Liu
doaj +1 more source