Results 51 to 60 of about 9,179 (236)
Unique continuation of positive solutions for doubly degenerate quasilinear elliptic equations
We consider quasilinear elliptic equations that are degenerate in two ways. One kind of degeneracy is due to the particular structure of the given vector fields.
Giuseppe Di Fazio +2 more
doaj
Beyond the classical strong maximum principle: Sign-changing forcing term and flat solutions
We show that the classical strong maximum principle, concerning positive supersolutions of linear elliptic equations vanishing on the boundary of the domain can be extended, under suitable conditions, to the case in which the forcing term is sign ...
Díaz Jesús Ildefonso +1 more
doaj +1 more source
Abruptly changing from aerobic to anaerobic conditions (sudden anaerobization) induced growth inhibition and a significant increase in intracellular labile ferrous iron in the aerotolerant anaerobe Amphibacillus xylanus. We found that free flavins mediate efficient electron transfer from NADH to ferric iron under anaerobic conditions, suggesting that ...
Shinya Kimata +13 more
wiley +1 more source
Unique continuation for solutions of p(x)-Laplacian equations
We study the unique continuation property for solutions to the quasilinear elliptic equation $$ hbox{div}(|abla u|^{p(x)-2}abla u) +V(x)|u|^{p(x)-2}u=0quad hbox{in }Omega, $$ where $Omega$ is a smooth bounded domain in $mathbb{R}^N$ and $1<p(x)&
Johnny Cuadro, Gabriel Lopez G.
doaj
A note on unique continuation for solutions of the $\infty$-mean value property
Summary: We consider continuous functions in Euclidean domains that are solutions of a non-linear mean value property related to the infinity Laplacian. It is proved that such functions must satisfy a restricted unique continuation principle in the sense that if they vanish on a ball, they must vanish on the whole domain.
openaire +3 more sources
UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová +2 more
wiley +1 more source
Orientation reversal and the Chern-Simons natural boundary
We show that the fundamental property of preservation of relations, underlying resurgent analysis, provides a new perspective on crossing a natural boundary, an important general problem in theoretical and mathematical physics.
Griffen Adams +4 more
doaj +1 more source
Hardy uncertainty principle and unique continuation properties of covariant Schrödinger flows
We prove a logarithmic convexity result for exponentially weighted $L^2$-norms of solutions to electromagnetic Schrödinger equation, without needing to assume smallness of the magnetic potential. As a consequence, we can prove a unique continuation result in the style of the Hardy uncertainty principle, which generalizes the analogous theorems which ...
J. A. Barcelo +4 more
openaire +2 more sources
Pathways and pitfalls: a qualitative study of student experiences in biomedical science education
Biomedical science students from underrepresented backgrounds face barriers including financial strain, disrupted laboratory access and cultural exclusion. Peer networks provide vital support when institutional systems are difficult to navigate. To create inclusive learning environments and achieve academic success, educators should blend active, hands‐
Olivia J. Russell +8 more
wiley +1 more source
Adenosine triphosphate as a modulator of protein interactions and stability
ATP is best known as the cell's energy currency, but it also shapes how proteins fold, interact, aggregate and form biomolecular condensates. This review explains the emerging physical principles behind these effects, including weak binding to charged protein regions, magnesium‐dependent behaviour and concentration‐dependent control of protein ...
Shuyuan Tan, Robin Curtis
wiley +1 more source

