The general class of Wasserstein Sobolev spaces: density of cylinder functions, reflexivity, uniform convexity and Clarkson's inequalities. [PDF]
Calc Var Partial Differ Equ, 2023 Sodini GE.
europepmc +1 more source
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics I. [PDF]
Rev Mat Complut, 2023 Comi GE, Stefani G.
europepmc +1 more source
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]
Calc Var Partial Differ Equ, 2021 Guerra A, Koch L, Lindberg S.
europepmc +1 more source
Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Coesite Discovery in Eclogites Confirms UHP Metamorphism in the Orlica‐Śnieżnik Dome (SW Poland)
Journal of Metamorphic Geology, Volume 44, Issue 3, Page 200-225, April 2026.ABSTRACT Eclogite lenses are exposed within the orthogneiss‐dominated core of the Orlica‐Śnieżnik Dome in the Sudetes, which forms the northeastern margin of the Bohemian Massif (Variscan Belt of Central Europe). The presence of coesite inclusions in garnet and omphacite confirms that these eclogites underwent ultrahigh‐pressure metamorphism.
Małgorzata Nowak +4 more
wiley +1 more source
Weakly hyperbolic equations with time degeneracy in Sobolev spaces
Abstract and Applied Analysis, 1997 The theory of nonlinear weakly hyperbolic equations was developed during the last decade in an astonishing way. Today we have a good overview about assumptions which guarantee local well posedness in spaces of smooth functions (C∞, Gevrey).
Michael Reissig
doaj +1 more source
Cryogenian Glacial Erosion and Tectonics as Agents of Crustal Recycling
Terra Nova, Volume 38, Issue 2, Page 87-96, April 2026.ABSTRACT Zircon preserves evidence of recycling processes that link surface environments to the mantle. Combined δ18O‐εHf in zircon fingerprints magmatic sources and tracks how crustal material is reworked over time. We apply statistical analyses to a global compilation that apparently resolves shifts in zircon U–Pb, δ18O, and Lu‐Hf data spanning the ...
M. Seraine +9 more
wiley +1 more source
Hölder Quasicontinuity in Variable Exponent Sobolev Spaces
Journal of Inequalities and Applications, 2007 We show that a function in the variable exponent Sobolev spaces coincides with a Hölder continuous Sobolev function outside a small exceptional set.
Katja Tuhkanen +2 more
doaj +1 more source
Hybrid Reaction–Diffusion Epidemic Models: Dynamics and Emergence of Oscillations
Mathematical Methods in the Applied Sciences, Volume 49, Issue 5, Page 4074-4095, 30 March 2026.ABSTRACT In this paper, we construct a hybrid epidemic mathematical model based on a reaction–diffusion system of the SIR (susceptible‐infected‐recovered) type. This model integrates the impact of random factors on the transmission rate of infectious diseases, represented by a probabilistic process acting at discrete time steps.
Asmae Tajani +2 more
wiley +1 more source