Results 131 to 140 of about 393,013 (283)
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
A speculative study of 2∕3-order fractional Laplacian modeling of turbulence: Some thoughts and conjectures [PDF]
, 2006 Wen Chen
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Optimal partition problems for the fractional Laplacian [PDF]
Annali di Matematica Pura ed Applicata (1923 -), 2017 In this work, we prove an existence result for an optimal partition problem of the form $$\min \{F_s(A_1,\dots,A_m)\colon A_i \in \mathcal{A}_s, \, A_i\cap A_j =\emptyset \mbox{ for } i\neq j\},$$ where $F_s$ is a cost functional with suitable assumptions of monotonicity and lowersemicontinuity, $\mathcal{A}_s$ is the class of admissible domains and ...
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Medical Physics, Volume 52, Issue 9, September 2025.Abstract Background Radiation therapy is a common treatment for head and neck (H&N) cancers. Radiomic features, which are determined from biomedical imaging, can be effective biomarkers used to assess tumor heterogeneity and have been used to predict response to treatment.
Amir Moslemi +4 more
wiley +1 more source
Abstract and Applied Analysis, 2014 We are concerned with the uniqueness of solutions for a class of p-Laplacian fractional order nonlinear systems with nonlocal boundary conditions.
Jun-qi He, Xue-li Song
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Quantitative Biology, Volume 13, Issue 3, September 2025.Abstract Alzheimer’s disease (AD) is a common neurodegenerative disorder nowadays. Amyloid‐beta (Aβ) and tau proteins are among the main contributors to the AD progression. In AD, Aβ proteins clump together to form plaques and disrupt cell functions.
Swadesh Pal, Roderick Melnik
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Estimates of Green functions for some perturbations of fractional Laplacian [PDF]
, 2007 Tomasz Grzywny, Michał Ryznar
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Understanding the Intricacies of Model Biases in Storm‐Related Extreme Precipitation Using CMIP6
Geophysical Research Letters, Volume 52, Issue 15, 16 August 2025.Abstract This paper evaluates the biases, defined as deviations from ERA5, in extreme precipitation linked to tropical cyclones (TCs), extratropical cyclones (ETCs), and atmospheric rivers (ARs) in Coupled Model Intercomparison Project Phase 6 (CMIP6) models during 1985–2014.
Xiaorui Li +6 more
wiley +1 more source
Nonexistence results of solutions for some fractional $p$-Laplacian equations in $\mathbb{R}^{N}$
Electronic Journal of Qualitative Theory of Differential EquationsIn the present paper, we study the nonexistence of nontrivial weak solutions to a class of fractional $p$-Laplacian equation in two cases which are $sp > N$ and $sp < N$.
Yuxin Chen, Haidong Liu
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On Shape Optimization Theory With Fractional p-Laplacian Operators
Abstract and Applied AnalysisThe focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall +3 more
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