Marine Anoxia and Ocean Acidification During the End‐Permian Extinction
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Ying Cui +4 more
wiley +5 more sources
High‐Pressure Na‐Ca Carbonates in the Deep Carbon Cycle
This book is Open Access. A digital copy can be downloaded for free from Wiley Online Library.
Explores the behavior of carbon in minerals, melts, and fluids under extreme conditions
Carbon trapped in diamonds and carbonate-bearing rocks in subduction zones are examples of the continuing exchange of substantial carbon ...
Sergey Rashchenko +2 more
wiley +6 more sources
A Sobolev space and a Darboux problem [PDF]
M. B. Suryanarayana
openaire +5 more sources
Every superposition operator mapping one Sobolev space into another is continuous
M. Marcus, V. Mizel
semanticscholar +2 more sources
On a New Parabolic Sobolev Embedding Map
The purpose of the present article is to provide a new parabolic Sobolev embedding map between a parabolic weighted Sobolev space and the space of square-integrable functions on a cylinder. Furthermore, the embedding constant is furnished explicitly.
El Aidi Mohammed
doaj +1 more source
This paper considers a simplified three dimensional Ericksen-Leslie System for nematic liquid crystal flows in the unbounded domain $ \Omega: = \mathbb R^+\times \mathbb R^2 $ or the smooth bounded domain $ \Omega $.
Junling Sun, Xuefeng Han
doaj +1 more source
Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
A. Boumazourh, M. Srati
semanticscholar +1 more source
Degree and Sobolev spaces [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brezis, Haïm +3 more
openaire +4 more sources
On fractional Orlicz–Sobolev spaces [PDF]
AbstractSome recent results on the theory of fractional Orlicz–Sobolev spaces are surveyed. They concern Sobolev type embeddings for these spaces with an optimal Orlicz target, related Hardy type inequalities, and criteria for compact embeddings.
Angela Alberico +3 more
openaire +4 more sources
We describe a recent, one-parameter family of characterizations of Sobolev and BV functions on \mathbb{R}^n n, using sizes of superlevel sets of suitable difference quotients. This provides an alternative point of view to the BBM formula by Bourgain, Brezis, and Mironescu, and ...
Brezis, Haïm +3 more
openaire +3 more sources

