Results 51 to 60 of about 4,328,107 (173)
Sobolev inequality and isoperimetric inequality for submanifolds in a smooth metric measure space
, 2023 Brendle recently proved a sharp Sobolev inequality and logarithmic Sobolev inequality for submanifolds in Euclidean space. From the sharp Sobolev inequality, he achieved a breakthrough in the conjecture of isoperimetric inequality for minimal ...
Ho, Pak-tung
core +1 more source
Universal Journal of Mathematics and Applications, 2019 For the last quarter century a considerable number of research has been carried out on the study of Herz spaces, variable exponent Lebesgue spaces and Sobolev spaces.
Lütfi Akın
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On the trace space of a Sobolev space with a radial weight
Journal of Function Spaces and Applications, 2008 Our concern in this paper lies with trace spaces for weighted Sobolev spaces, when the weight is a power of the distance to a point at the boundary. For a large range of powers we give a full description of the trace space.
Helmut Abels +2 more
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Resolution of a high-order parabolic equation in conical time-dependent domains of R3
Arab Journal of Mathematical Sciences, 2016 New results on the existence, uniqueness and maximal regularity of a solution are given for a two-space dimensional high-order parabolic equation set in conical time-dependent domains.
Arezki Kheloufi +1 more
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Compact embeddings of broken Sobolev spaces and applications [PDF]
, 2009 In this paper, we present several extensions of theoretical tools for the analysis of discontinuous Galerkin (DG) method beyond the linear case.
Buffa, Annalisa, Ortner, Christoph
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Anisotropic logarithmic Sobolev inequality with a Gaussian weight and its applications
Electronic Journal of Differential Equations, 2019 In this article we prove a Logarithmic Sobolev type inequality and a Poincare type inequality for functions in the anisotropic Gaussian Sobolev space.
Filomena Feo, Gabriella Paderni
doaj
Existence of Solutions for Degenerate Elliptic Problems in Weighted Sobolev Space
Journal of Function Spaces, 2015 This paper is devoted to the study of the existence of solutions to a general elliptic problem Au+g(x,u,∇u)=f-divF, with f∈L1(Ω) and F∈∏i=1NLp'(Ω,ωi*), where A is a Leray-Lions operator from a weighted Sobolev space into its dual and g(x,s,ξ) is a ...
Lili Dai, Wenjie Gao, Zhongqing Li
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Stability of Viscous Three‐Dimensional Stratified Couette Flow via Dispersion and Mixing
Communications on Pure and Applied Mathematics, Volume 79, Issue 12, Page 2435-2490, December 2026.ABSTRACT This article explores the stability of stratified Couette flow in the viscous 3d$3d$ Boussinesq equations. In this system, mixing effects arise from the shearing background, and gravity acts as a restoring force leading to dispersive internal gravity waves.
Michele Coti Zelati +2 more
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
doaj
Performance of a Mixed Least‐Squares Finite Element Formulation With Application in Poroelasticity
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT A mixed least‐squares finite element method (LSFEM), previously proposed for the theory of porous media (TPM), is further investigated in this work. Finite deformation of a fully saturated, incompressible solid–fluid binary system is studied using the LSFEM.
Manu Hegde +3 more
wiley +1 more source