scientific article; zbMATH DE number 7695429

zbMath1524.31009MaRDI QIDQ6098404

Youssef Akdim, Rachid Elharch, Soumia Lalaoui Rhali, M. C. Hassib

Publication date: 13 June 2023

Full work available at URL: http://e-ndst.kiev.ua/v22n1/1(81).pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

capacityDirichlet energyanisotropic Sobolev space with zero boundary values

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Potentials and capacities on other spaces (31C15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

Related Items

Some results of capacity in fractional Sobolev spaces with variable exponents

Cites Work

• The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
• Existence and nonexistence of solutions for some nonlinear elliptic equations
• Sobolev capacity of the space \(W^{1,p(\cdot)} (\mathbb{R}^n)\)
• Sobolev spaces with zero boundary values on metric spaces
• Teoremi di inclusione per spazi di Sobolev non isotropi
• A Theory of Capacities for Potentials of Functions in Lebesgue Classes.
• NON-LINEAR POTENTIAL THEORY
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
• Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
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