Results 61 to 70 of about 32,440 (193)

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, Boubaker-Khaled Sadallah   +1 more
doaj   +1 more source

Conformal invariants measuring the best constants for Gagliardo-Nirenberg-Sobolev inequalities [PDF]

, 2011
We introduce a family of conformal invariants associated to a smooth metric measure space which generalize the relationship between the Yamabe constant and the best constant for the Sobolev inequality to the best constants for Gagliardo-Nirenberg-Sobolev
Case, Jeffrey S.
core  

Wavelet packets in weighted Sobolev space

, 2020
We perform some splitting tricks over wavelets to construct basic wavelet packets in weighted Sobolev space. MRA based wavelet packet functions and their orthogonality at different levels in weighted Sobolev space are presented. Some examples of wavelet packets in weighted Sobolev space are given.
KUMAR, R., CHAUHAN, M.
openaire   +2 more sources

Sobolev inequalities for weight spaces and supercontractivity [PDF]

Transactions of the American Mathematical Society, 1976
For ϕ ∈ C 2 ( R n ) \phi \in {C^2}({{\mathbf {R}}^n}) with ϕ ( x ) = a | x
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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-div⁡F, 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
doaj   +1 more source

Removable Sets for Weighted Orlicz-Sobolev Spaces [PDF]

Computational Methods and Function Theory, 2019
11 ...
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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  

Certain imbeddings of weighted Sobolev spaces [PDF]

Mathematical Inequalities & Applications, 2003
The authors characterize weight functions for which the weighted Sobolev space \(W^{1,p}(\Omega, d^\beta_M)\) [and also \(W^{1,p}(\Omega, s_0(d_M))\)] is imbedded continuously or compactly into the weighted Lebesgue space \(L^q(\Omega, d^\alpha_M)\) [and also \(L^q(\Omega, s_1(d_M))\)], where \(1\leq q< p< \infty\) and \(M\subset\partial\Omega\).
Jain, Pankaj, Bansal, Bindu, Jain, Pawan K.   +2 more
openaire   +1 more source

Embeddings of a Multi-Weighted Anisotropic Sobolev Type Space

Қарағанды университетінің хабаршысы. Математика сериясы
Parameters 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, M.S. Aitenova, A.K. Sexenbayeva   +2 more
doaj   +1 more source