Results 71 to 80 of about 1,651 (223)
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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, 2005 We introduce a weighted reproducing kernel Hilbert space which is based on Walsh functions. The worst-case error for integration in this space is studied, especially with regard to (t,m,s)-nets.
Dick, Josef, Pillichshammer, Friedrich
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An embedding theorem for a weighted space of Sobolev type and correct solvability of the Sturm-Liouville equation [PDF]
, 2012 summary:We consider the weighted space $W_1^{(2)}(\mathbb R,q)$ of Sobolev type $$ W_1^{(2)}(\mathbb R,q)=\left \{y\in A_{\rm loc}^{(1)}(\mathbb R)\colon \|y''\|_{L_1(\mathbb R)}+\|qy\|_{L_1(\mathbb R)}0\colon \inf _{x\in \mathbb R}\int _{x-a}^{x+a} q ...
Shuster, Leonid A. +1 more
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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
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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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Elliptic Equations in Weighted Sobolev Spaces on Unbounded Domains [PDF]
International Journal of Mathematics and Mathematical Sciences, 2008 We study in this paper a class of second‐order linear elliptic equations in weighted Sobolev spaces on unbounded domains of ℝn, n ≥ 3. We obtain an a priori bound, and a regularity result from which we deduce a uniqueness theorem.
BOCCIA, SERENA +2 more
openaire +5 more sources
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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Hardy-Sobolev inequalities and weighted capacities in metric spaces
, 2022 Let $\Omega$ be an open set in a metric measure space $X$. Our main result gives an equivalence between the validity of a weighted Hardy–Sobolev inequality in $\Omega$ and quasiadditivity of a weighted capacity with respect to Whitney covers of $\Omega$.
Lehrbäck, Juha +2 more
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Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space
Қарағанды университетінің хабаршысы. Математика сериясыParameters such as various integral and differential characteristics of functions, smoothness properties of regions and their boundaries, as well as many classes of weight functions cause complex relationships and embedding conditions for multi-weighted
G.Sh. Iskakova +2 more
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Jumping nonlinearities and weighted Sobolev spaces
, 2005 Working in a weighted Sobolev space, a new result involving jumping nonlinearities for a semilinear elliptic boundary value problem in a bounded domain in RN is established. The nonlinear part of the equation is assumed to grow at most linearly and to be
Rumbos, Adolfo J., Shapiro, Victor L.
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