Results 101 to 110 of about 27,734 (203)
Hierarchical Optimization of the As‐Rigid‐As‐Possible Energy
Abstract The As‐Rigid‐As‐Possible (ARAP) energy [SA07] has become a versatile ingredient in various geometry processing and machine learning methods. The classic method for its minimization is a block coordinate descent, alternating between local rotation estimation and a global linear solve, which converges slowly for large problem instances.
Hendrik Meyer, Bernd Bickel, Marc Alexa
wiley +1 more source
We study the fractional elliptic equation $$\displaylines{ (-\Delta)^{1/2} u = \lambda u+|u|^{p-2}ue^{u^2} ,\quad\text{in } (-1,1),\cr u=0\quad\text{in } \mathbb{R}\setminus(-1,1), }$$ where $\lambda$ is a positive real parameter, p>2 and $(-\Delta)^
Pawan Kumar Mishra, Konijeti Sreenadh
doaj
ABSTRACT Traditional graph representations are insufficient for modelling real‐world phenomena involving multi‐entity interactions, such as collaborative projects or protein complexes, necessitating the use of hypergraphs. While hypergraphs preserve the intrinsic nature of such complex relationships, existing models often overlook temporal evolution in
Xianghe Zhu, Qiwei Yao
wiley +1 more source
In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
doaj
Strong Comparison Principle for the Fractional p-Laplacian and Applications to Starshaped Rings
In the following, we show the strong comparison principle for the fractional p-Laplacian, i.e.
Jarohs Sven
doaj +1 more source
In this paper, we use variant fountain theorems to study the existence of infinitely many solutions for the fractional p-Laplacian equation (−Δ)pαu+λV(x)|u|p−2u=f(x,u)−μg(x)|u|q−2u,x∈RN, $$ (-\Delta )_{p}^{\alpha }u+\lambda V(x) \vert u \vert ^{p-2}u=f(x,
Keyu Zhang +3 more
doaj +1 more source
Weak Comparison Principle for Weighted Fractional p-Laplacian Equation
The aim of this paper is to establish a weak comparison principle for a class fractional p-Laplacian equation with weight. The nonlinear term fx,s>0 is a Carathéodory function which is possibly unbounded both at the origin and at infinity and such that ...
Jin Xie
doaj +1 more source
Abstract figure legend Integrated multimodal platform for panoramic cardiac mapping in isolated heart experiments. On the left, an image of the experimental setup during data acquisition showing a Langendorff‐perfused rabbit heart surrounded by three optical cameras (CAM A, B and C) positioned 120° apart, each coupled with high‐power LEDs for panoramic
Jimena Siles +8 more
wiley +1 more source
Lyapunov-type inequalities for a fractional p-Laplacian system
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Jleli M., Kirane M., Samet B.
openaire +4 more sources
Abstract Generating hydrogel beads pertains to many engineering applications. We examined two alginate‐based fluids at three concentrations of alginate, cAG. We used the “Map of Misery” to determine which material property (viscosity, elasticity, and inertia) drives droplet formation. Next, we measured the perimeter and circularity of hydrogel beads as
Conor G. Harris +5 more
wiley +1 more source

