Results 151 to 160 of about 32,440 (193)
On asymptotic stability of solitons for 2D Maxwell-Lorentz equations with spinning particle. [PDF]
Kopylova E.
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Quantization of the energy for the inhomogeneous Allen-Cahn mean curvature. [PDF]
Nguyen HT, Wang S.
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Nonlinear Elliptic Equations on Weighted Sobolev Space
Mathematical Notes, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kumari, Rupali, Kar, Rasmita
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Canadian Journal of Mathematics, 1996
AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
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AbstractWe study density and extension problems for weighted Sobolev spaces on bounded (ε, δ) domains𝓓when a doubling weight w satisfies the weighted Poincaré inequality on cubes near the boundary of 𝓓 and when it is in the MuckenhouptApclass locally in 𝓓. Moreover, when the weightswi(x) are of the form dist(x,Mi)αi,αi∈ ℝ,Mi⊂ 𝓓that are doubling, we are
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Sbornik: Mathematics, 1998
Summary: The case when smooth functions are not dense in a weighted Sobolev space \(W\) is considered. New examples of the inequality \(H\neq W\) (where \(H\) is the closure of the space of smooth functions) are presented. We pose the problem of `viscosity' or `attainable' spaces \(V\) (that is, spaces that are in a certain sense limits of weighted ...
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Summary: The case when smooth functions are not dense in a weighted Sobolev space \(W\) is considered. New examples of the inequality \(H\neq W\) (where \(H\) is the closure of the space of smooth functions) are presented. We pose the problem of `viscosity' or `attainable' spaces \(V\) (that is, spaces that are in a certain sense limits of weighted ...
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Null-Sets Criteria for Weighted Sobolev Spaces
Journal of Mathematical Sciences, 2003The authors give functional, capacity and metric characterizations of null sets on weighted Sobolev spaces \(L^1_{p,w}(G)\), with \(G\) an open subset of the \(n\)-dimensional Euclidean space. The weights are the usual Muckenhoupt \(A_p\) weights, and the norm on \(L^1_{p,w}(G)\) is given by \[ \int_G | \nabla u| ^p w \, dx.
Demshin, I. N. +2 more
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Imbedding Theorems for Weighted Orlicz-Sobolev Spaces
Journal of the London Mathematical Society, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Krbec, Miroslav +2 more
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