Results 81 to 90 of about 8,833 (226)
Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 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
Modeling Geoid and Dynamic Topography From Tomography‐Based Thermo‐Chemical Mantle Convection
Journal of Geophysical Research: Solid Earth, Volume 131, Issue 2, February 2026.Abstract Mantle convection causes the most important contribution to the geoid and dynamic topography. With mantle density inferred from high‐resolution tomography models and numerical methods solving the governing equations of viscous mantle flow, the modeled geoid can fit the observations well.
Ronghua Cui +2 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
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Rigidity of anti‐de Sitter (2+1)‐spacetimes with convex boundary near the Fuchsian locus
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We prove that globally hyperbolic compact anti‐de Sitter (2+1)‐spacetimes with a strictly convex spacelike boundary that is either smooth or polyhedral and whose holonomy is close to Fuchsian are determined by the induced metric on the boundary.
Roman Prosanov, Jean‐Marc Schlenker
wiley +1 more source
Existence of solutions for quasilinear parabolic equations at resonance
Electronic Journal of Differential Equations, 2013 In this article, we show the existence of nontrivial solutions for a class of quasilinear parabolic differential equations. To obtain the solution in a weighted Sobolev space, we use the Galerkin method, Brouwer's theorem, and a compact Sobolev-type ...
Gao Jia, Xiao-Juan Zhang, Li-Na Huang
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Abstract Boundary Delay Systems and Application to Network Flow
Mathematical Methods in the Applied Sciences, Volume 49, Issue 1, Page 119-129, 15 January 2026.ABSTRACT This paper investigates the well‐posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract boundary delay equation, and well‐posedness is proved by using the Staffans–Weiss theory.
András Bátkai +2 more
wiley +1 more source
Embedding theorems for variable exponent fractional Sobolev spaces and an application
, 2021 Haikun Liu, Yongqiang Fu
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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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Global solution of anisotropic Quasi-Geostrophic Equations in Sobolev Space [PDF]
, 2021 Mustapha Amara, Jamel Benameur
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