Zobrazeno 1 - 10
of 5 606
pro vyhledávání: '"Clapp P"'
Multiple solutions to a semilinear elliptic equation with a sharp change of sign in the nonlinearity
We consider a nonautonomous semilinear elliptic problem where the power nonlinearity is multiplied by a discontinuous coefficient that equals one inside a bounded open set $\Omega$ and it equals minus one in its complement. In the slightly subcritica
Externí odkaz:
http://arxiv.org/abs/2411.10678
In e-commerce, the order in which search results are displayed when a customer tries to find relevant listings can significantly impact their shopping experience and search efficiency. Tailored re-ranking system based on relevance and engagement sign
Externí odkaz:
http://arxiv.org/abs/2408.13357
In this paper we consider a competitive weakly coupled elliptic system in which each species is attracted to a small region and repelled from its complement. In this setting, we establish the existence of infinitely many solutions and of a nonnegativ
Externí odkaz:
http://arxiv.org/abs/2407.20125
RMSNorm is used by many LLMs such as Llama, Mistral, and OpenELM. This paper details FlashNorm, which is an exact but faster implementation of RMSNorm followed by linear layers. See https://huggingface.co/open-machine/FlashNorm for code and more tran
Externí odkaz:
http://arxiv.org/abs/2407.09577
We study the existence and concentration of positive and nodal solutions to a Schr\"odinger equation in the presence of a shrinking self-focusing core of arbitrary shape. Via a suitable rescaling, the concentration gives rise to a limiting profile th
Externí odkaz:
http://arxiv.org/abs/2407.04830
We establish the existence of a solution to a nonlinear competitive Schr\"odinger system whose scalar potential tends to a positive constant at infinity with an appropriate rate. This solution has the property that all components are invariant under
Externí odkaz:
http://arxiv.org/abs/2404.04448
We establish the validity of a strong unique continuation property for weakly coupled elliptic systems, including competitive ones. Our proof exploits the system structure and uses Carleman estimates. We apply this result to obtain some nonexistence
Externí odkaz:
http://arxiv.org/abs/2401.04041
Monitoring stored CO2 in carbon capture and storage projects is crucial for ensuring safety and effectiveness. We introduce DeepNRMS, a novel noise-robust method that effectively handles time-lapse noise in seismic images. The DeepNRMS leverages unsu
Externí odkaz:
http://arxiv.org/abs/2310.07897
Autor:
James K. Tsuruta, Patrick R. Sears, Meghan E. Rebuli, Andrew S. Weitz, Phillip G. Durham, Phillip W. Clapp, David B. Hill, Lawrence E. Ostrowski, Paul A. Dayton, Melissa C. Caughey
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-11 (2024)
Abstract Impaired mucociliary transport is a distinguishing sign of cystic fibrosis, but current methods of evaluation are invasive or expose young patients to ionizing radiation. Contrast-enhanced ultrasound imaging may provide a feasible alternativ
Externí odkaz:
https://doaj.org/article/60ce91fbc5ba4d92ba6957a17f0512a4
We establish the existence of an optimal partition for the Yamabe equation in the whole space made up of mutually linearly isometric sets, each of them invariant under the action of a group of linear isometries. To do this, we establish the existence
Externí odkaz:
http://arxiv.org/abs/2309.00784