Results 61 to 70 of about 27,220 (202)

Interpolation inequalities in weighted Sobolev spaces [PDF]

Journal of Mathematical Inequalities, 2008
In this paper we prove some interpolation inequalities between functions and their derivatives in the class of weighted Sobolev spaces defined on unbounded open subset Ω ⊂ R n .
BOCCIA, SERENA, CASO, Loredana
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Persistence of solutions to nonlinear evolution equations in weighted Sobolev spaces

Electronic Journal of Differential Equations, 2010
In this article, we prove that the initial value problem associated with the Korteweg-de Vries equation is well-posed in weighted Sobolev spaces $mathcal{X}^{s,heta}$, for $s geq 2heta ge 2$ and the initial value problem associated with the nonlinear
Xavier Carvajal Paredes, Pedro Gamboa Romero   +1 more
doaj  

The Dirichlet Problem for the Nonstationary Stokes System in a Domain with Angular or Conical Points

Fluids
The paper deals with the Dirichlet problem for the nonstationary Stokes system in a bounded two- or three-dimensional domain with angular or conical points on the boundary.
Jürgen Rossmann
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On a nonlinear elliptic problems having large monotonocity with L1-data in weighted Orlicz-Sobolev spaces

Moroccan Journal of Pure and Applied Analysis, 2019
We prove in weighted Orlicz-Sobolev spaces, the existence of entropy solution for a class of nonlinear elliptic equations of Leray-Lions type, with large monotonicity condition and right hand side f ∈ L1(Ω).
Haji Badr El, Moumni Mostafa El, Kouhaila Khaled   +2 more
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Covariant Poisson equation with compact Lie algebras

, 2002
The covariant Poisson equation for Lie algebra-valued mappings defined in 3-dimensional Euclidean space is studied using functional analytic methods. Weighted covariant Sobolev spaces are defined and used to derive sufficient conditions for the existence
Aubin T., Brown R. C., Choquet-Bruhat Y., Cronström C., Eichhorn J., Gurka P., Nirenberg L.   +6 more
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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.
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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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Uniqueness Results for Higher Order Elliptic Equations in Weighted Sobolev Spaces

International Journal of Differential Equations, 2018
We prove some uniqueness results for the solution of two kinds of Dirichlet boundary value problems for second- and fourth-order linear elliptic differential equations with discontinuous coefficients in polyhedral angles, in weighted Sobolev spaces.
Loredana Caso, Patrizia Di Gironimo, Sara Monsurrò, Maria Transirico   +3 more
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A NOTE ON WEIGHTED SOBOLEV SPACES RELATED TO WEAKLY AND STRONGLY DEGENERATE DIFFERENTIAL OPERATORS

Journal of Optimization, Differential Equations and Their Applications, 2019
In this paper we discuss some issues related to Poincar´e’s inequality for a special class of weighted Sobolev spaces. A common feature of these spaces is that they can be naturally associated with differential operators with variable diffusion ...
Peter I. Kogut, Olha P. Kupenko, Guenter Leugering, Yue Wang   +3 more
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Removable Sets for Weighted Orlicz-Sobolev Spaces [PDF]

Computational Methods and Function Theory, 2019
11 ...
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