Results 71 to 80 of about 1,593,722 (169)
Eigenvalue problems for a class of singular quasilinear elliptic equations in weighted spaces
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In this paper, by using the Galerkin method and the generalized Brouwer's theorem, some problems of the higher eigenvalues are studied for a class of singular quasiliner elliptic equations in the weighted Sobolev spaces.
Gao Jia, Mei-ling Zhao, Fang-lan Li
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DreamFold: A World Model to efficiently generate protein folding pathways in the latent space
Protein Science, Volume 35, Issue 11, November 2026.Abstract While there is an abundance of static data for the structure of biological macromolecules, the data regarding their folding mechanisms and dynamics is scarce, posing a challenge to the training of AI models. The World Model approach, which has been very successful in robotics, can come in handy in this regard. From limited data, it can build a
Alan Ianeselli +3 more
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On multipliers in weighted Sobolev spaces. Part II
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 Let X, Y be Banach spaces whose elements are functions y : Ω → R. We say that a function z : Ω → R is apointwise multiplier on the pair (X, Y ), if T x = zx ∈ Y and the operator T : X → Y is bounded. M (X → Y )denotes the multiplier space on the pair (X,
A. Myrzagaliyeva
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Results in Applied MathematicsThis study investigates the existence of weak solutions for nonlinear anisotropic elliptic equations characterized by non-local boundary conditions within anisotropic weighted variable exponent Sobolev spaces. By employing variational methods and compact
Soumia EL OMARI, Said Melliani
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Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
Mathematische Nachrichten, Volume 299, Issue 10, Page 2894-2917, October 2026.ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
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Some Remarks on Spaces of Morrey Type
Abstract and Applied Analysis, 2010 We deepen the study of some Morrey type spaces, denoted by Mp,λ(Ω), defined on an unbounded open subset Ω of ℝn. In particular, we construct decompositions for functions belonging to two different subspaces of Mp,λ(Ω), which allow us to prove a ...
Loredana Caso +2 more
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Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1872-1892, October 2026.ABSTRACT Purpose To demonstrate the synergy of undersampled radial 2in1‐RARE‐EPI acquisition and nonlinear model‐based reconstruction for accelerated and simultaneous T2, T2*, and R2′ mapping in brains of patients with multiple sclerosis (MS). Methods 2in1‐RARE‐EPI combines a RARE module with an EPI module to capture T2 and T2* information.
Jose Raul Velasquez Vides +16 more
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Fourier Multipliers on Triebel-Lizorkin-Type Spaces
Journal of Function Spaces and Applications, 2012 The authors study the mapping properties of Fourier multipliers, with symbols satisfying some generalized Hörmander's condition, on Triebel- Lizorkin-type spaces and Triebel-Lizorkin-Hausdorff spaces.
Dachun Yang, Wen Yuan, Ciqiang Zhuo
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BaSIC: A Bayesian Inversion Model for Basalt Source Investigation and Characterization
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 10, October 2026.Abstract We present BaSIC: Basalt Source Investigation and Characterization, an open‐source Python based Bayesian inversion method to constrain the source mineralogy of basalts. Using bulk rock geochemistry, the model takes the averages and standard deviations of six elemental ratios (Mn/Fe, Zn/Fe, Mn/Zn, Sc/Zn, Co/Fe, and Ga/Sc) for a given basalt ...
E. H. Cunningham +2 more
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A Kind of Estimate of Difference Norms in Anisotropic Weighted Sobolev-Lorentz Spaces
Journal of Inequalities and Applications, 2009 We investigate the functions spaces on ℝn for which the generalized partial derivatives Dkrkf exist and belong to different Lorentz spaces Λpk,sk(w), where pk>1 and w is nonincreasing and satisfies some special conditions.
Jiecheng Chen, Hongliang Li
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