Entropy solutions for nonlinear parabolic inequalities involving measure data in Musielak-Orlicz-Sobolev spaces by Talha Abdeslam, Abdelmoujib Benkirane, Mohamed Saad Bouh Elemine Vall

Subjects: “…Musielak-Orlicz-Sobolev spaces…”
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Local existence of solutions to the 2D MHD boundary layer equations without monotonicity in Sobolev space by Xiaolei Dong

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Entropy Solutions for Some Nonlinear Elliptic Problem via Minty’s Lemma in Musielak-Orlicz-Sobolev Spaces by Badr El Haji, Mohamed Mabdaoui

Approximation Characteristics of Gel’fand Type in Multivariate Sobolev Spaces with Mixed Derivative Equipped with Gaussian Measure by Yuqi Liu, Huan Li, Xuehua Li

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The Existence and Uniqueness of the Solution of a Nonlinear Partial Differential Equation in the Eontinuous Functions of Holder and Sobolev Spaces by Mozhgan Akbari, Fateme Joveini

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Neumann Problem Involving The p(x)-Kirchhoff-Laplacian-Like Operator in Variable Exponent Sobolev Space by Mohamed El Ouaarabi, Chakir Allalou, Said Melliani

Existence of entropy solution for a nonlinear parabolic problem in weighted Sobolev space via optimization method by Lhoucine Hmidouch, Ahmed Jamea, Mohamed Laghdir

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New developments in convergence of wavelet expansion of functions Lᴾ (R²), Sobolev space Hˢ (R²) and Lᴾ (S²) by Shamsah, Raghad Sahib Abbas

“…While other techniques like use the boundedness condition of Zak transform and the structure of Meyer wavelet, are used to prove the convergence of wavelet expansions of Sobolev spaces functions with using high-regularity wavelet function. …”
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A note on extension of sobolev functions / by 349811 Hajlasz, Piotr, International Centre for Theoretical Physics

Subjects: “…Sobolev spaces…”

Entropy Solution for Nonlinear Elliptic Boundary Value Problem Having Large Monotonocity in Musielak-Orlicz-Sobolev Spaces by Ouidad Azraibi, Badr El Haji, Mounir Mekkour

Existence of a capacity solution to a nonlinear parabolic–elliptic coupled system in anisotropic Orlicz-Sobolev spaces by Francisco Ortegón Gallego, Hakima Ouyahya, Mohamed Rhoudaf

Subjects: “…Inhomogeneous anisotropic Orlicz-Sobolev spaces…”
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Existence of nontrivial weak solutions for nonuniformly elliptic equation with mixed boundary condition in a variable exponent Sobolev space by Junichi Aramaki

“…In In this paper, we consider a mixed boundary value problem for nonuniformly elliptic equation in a variable exponent Sobolev space containing $p(\cdot)$-Laplacian and mean curvature operator. …”
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Entropy solution for a nonlinear degenerate parabolic problem in weighted Sobolev space via Rothe's time-discretization approach by Abdelali Sabri, Ahmed Jamea

“…The main tool used here is the Rothe's time-discretization approach combined with the theory of weighted Sobolev spaces. …”
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Existence of a solution and its numerical approximation for a strongly nonlinear coupled system in anisotropic Orlicz-Sobolev spaces by Francisco Ortegon Gallego, Hakima Ouyahya, Mohamed Rhoudaf

Subjects: “…anisotropic orlicz-sobolev spaces…”
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Turbulent channel flow in weighted Sobolev spaces using the anisotropic Lagrangian averaged Navier-Stokes (LANS-α) equations by Coutand, D, Shkoller, S

“…The vanishing of the covariance along the walls induces certain degenerate elliptic operators into the model, which require weighted Sobolev spaces to study. We prove that when the no-slip boundary conditions are prescribed for the mean velocity, the LANS-α equations possess unique global weak solutions which converge as time tends to infinity towards the unique stationary solutions. …”

Right Fractional Sobolev Space via Riemann–Liouville Derivatives on Time Scales and an Application to Fractional Boundary Value Problem on Time Scales by Xing Hu, Yongkun Li

“…Using the concept of fractional derivatives of Riemann–Liouville on time scales, we first introduce right fractional Sobolev spaces and characterize them. Then, we prove the equivalence of some norms in the introduced spaces, and obtain their completeness, reflexivity, separability and some embeddings. …”
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Left Riemann–Liouville Fractional Sobolev Space on Time Scales and Its Application to a Fractional Boundary Value Problem on Time Scales by Xing Hu, Yongkun Li

“…Then, we establish and characterize fractional Sobolev space with the help of the notion of left Riemann–Liouville fractional derivative on time scales. …”
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On spaces of periodic functions with wavelet transforms by Baby Kalita, Sunil Kumar Singh

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<i>N</i>-Widths of Multivariate Sobolev Spaces with Common Smoothness in Probabilistic and Average Settings in the <i>S_q</i> Norm by Yuqi Liu, Xuehua Li, Huan Li

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On the constants in some inequalities for the Sobolev norms and pointwise product by Pizzocchero Livio, Morosi Carlo

Subjects: “…Sobolev spaces…”
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