Results 61 to 70 of about 77,616 (312)
Convergence of exterior solutions to radial Cauchy solutions for $\partial_t^2U-c^2\Delta U=0$
Consider the Cauchy problem for the 3-D linear wave equation $\partial_t^2U-c^2\Delta U=0$ with radial initial data $U(0,x)=\Phi(x)=\varphi(|x|)$, $U_t(0,x)=\Psi(x)=\psi(|x|)$. A standard result states that $U$ belongs to $C([0,T];H^s(\mathbb{R}^3))$
Helge Kristian Jenssen, Charis Tsikkou
doaj
Infinitely many radial and non-radial solutions for a fractional Schrödinger equation
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Wen Zhang 0013 +2 more
openaire +2 more sources
Evolutionary analysis across 32 placental mammals identified positive selection at residues H148 and W149 in the immune receptor FcγR1. Ancestral reconstruction combined with molecular dynamics simulations reveals how these mutations may influence receptor structure and dynamics, providing insight into the evolution of antibody recognition and immune ...
David A. Young +7 more
wiley +1 more source
Genetic programming approaches for solving elliptic partial differential equations
In this paper, we propose a technique based on genetic programming (GP) for meshfree solution of elliptic partial differential equations. We employ the least-squares collocation principle to define an appropriate objective function, which is optimized ...
Sobester, A. +5 more
core +1 more source
Existence of positive radial solutions for quasilinear elliptic equations and systems
Under simple conditions on f and g, we show that existence of positive radial solutions for the quasilinear elliptic equation $$ \hbox{div}(\phi_1(|\nabla u|) \nabla u)=a(|x|)f(u) \quad x\in \mathbb{R}^N, $$ and for the system $$\displaylines{
Zhijun Zhang
doaj
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Francesc Salvat +1 more
openaire +3 more sources
Pharmacological inhibition of PERK in a DEN‐induced mouse model of liver cancer does not reduce tumor burden but alters cellular stress signaling. Despite blocking PERK activity, downstream stress responses, including CHOP expression, remain active, suggesting compensatory mechanisms within the unfolded protein response that may influence tumor ...
Ada Lerma‐Clavero +5 more
wiley +1 more source
Existence of positive radial solutions of general quasilinear elliptic systems
Let Ω⊂Rn(n≥2)\Omega \subset {{\mathbb{R}}}^{n}\hspace{0.33em}\left(n\ge 2) be either an open ball BR{B}_{R} centred at the origin or the whole space. We study the existence of positive, radial solutions of quasilinear elliptic systems of the form Δpu=f1(∣
Devine Daniel
doaj +1 more source
We study the problem $-\Delta u=\lambda u-u^{-1}$ with a Neumann boundary condition; the peculiarity being the presence of the singular term $-u^{-1}$.
Claudio Saccon
doaj +1 more source
MagmaFlow: A desktop platform for artificial intelligence‐driven expression analysis
MagmaFlow is a free, no‐code platform for gene expression analysis. It generates interactive volcano plots, links genes to literature, pathways, and diseases, prioritizes candidates using millions of publications, identifies affected biological processes, builds network diagrams, and exports publication‐ready figures and reports for macOS and Windows ...
Carlos E. Buss +7 more
wiley +1 more source

