Results 121 to 130 of about 4,761,041 (315)
Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary +2 more
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Weighted sobolev spaces and the nonlinear dirichlet problem in unbounded domains [PDF]
, 1979 Vieri Benci, Donato Fortunato
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Protein Science, Volume 34, Issue 11, November 2025.Abstract Epistasis, the non‐additive effect of mutations, substantially undermines our ability to predict the evolutionary trajectories of enzymes. Epistatic effects are evident in the evolution of serine β‐lactamases, where synergistic mutations can enhance antimicrobial resistance.
Marko Radojković +6 more
wiley +1 more source
Anisotropic nonlinear elliptic systems with measure data and anisotropic harmonic maps into spheres
Electronic Journal of Differential Equations, 2006 We prove existence results for distributional solutions of anisotropic nonlinear elliptic systems with a measure valued right-hand side. The functional setting involves anisotropic Sobolev spaces as well as weak Lebesgue (Marcinkiewicz) spaces. In a
Mostafa Bendahmane, Kenneth H. Karlsen
doaj
Space‐Time Boundary Elements on Graded Meshes for 3D Elastodynamics
International Journal for Numerical Methods in Engineering, Volume 126, Issue 20, 30 October 2025.ABSTRACT The solution to the elastodynamic equations in the exterior of a polygonal or polyhedral domain or a screen exhibits singularities at corners and edges. This paper presents a space‐time boundary element method in 3D on algebraically graded meshes to resolve these singularities, based on recently obtained error estimates for the weakly singular
Alessandra Aimi +3 more
wiley +1 more source
Fractional minimization problem on the Nehari manifold
Electronic Journal of Differential Equations, 2018 In the framework of fractional Sobolev space, using Nehari manifold and concentration compactness principle, we study a minimization problem in the whole space involving the fractional Laplacian.
Mei Yu, Meina Zhang, Xia Zhang
doaj
Coerciveness and isomorphism of discontinuous Sturm-Liouville problems with transmission conditions
Journal of New Results in ScienceThis study investigates a discontinuous Sturm-Liouville boundary value problem(BVP) on two intervals with functionals and transmission conditions in the direct sum ofSobolev spaces. Moreover, it presents the differential operator generated by the problem
Murat Küçük, Mustafa Kandemir
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Geophysical Research Letters, Volume 52, Issue 19, 16 October 2025.Abstract The causes and global distribution of intraplate volcanism remain poorly understood, particularly the occurrence of scattered magmatism unrelated to large igneous provinces (LIPs). In this study, high‐resolution numerical simulations are employed to examine the interaction between deep thermochemical mantle plumes and the mantle transition ...
X. Zhu, A. Balázs, T. Gerya, Z. Sun
wiley +1 more source
Existence theorems for Lagrange problems in Sobolev spaces [PDF]
, 1970 Lamberto Cesari
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Error Analysis of a Pressure‐Correction Method With Explicit Time‐Stepping
International Journal for Numerical Methods in Fluids, Volume 97, Issue 10, Page 1363-1378, October 2025.We study explicit variants of this well‐established pressure‐correction scheme for solving the Navier–Stokes equations. Step 3 is replaced by an explicit time‐integration method. We give the complete error analysis for this scheme that allows for highly efficient implementations.
Utku Kaya, Thomas Richter
wiley +1 more source