On solvability in the small of higher order elliptic equations in grand-Sobolev spaces

DOI10.1080/17476933.2020.1807965zbMath1481.35153OpenAlexW3082777294MaRDI QIDQ5020760

B. T. Bilalov, Sabina R. Sadigova

Publication date: 7 January 2022

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1807965

zbMATH Keywords

existenceelliptic equationsgrand Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic equations (35J30)

Related Items (14)

Some remarks on solvability of Dirichlet problem for Laplace equation in non-standard function spaces ⋮ The Concept of a Trace and the Boundedness of the Trace Operator in Banach-Sobolev Function Spaces ⋮ On local solvability of higher order elliptic equations in rearrangement invariant spaces ⋮ Unnamed Item ⋮ Solvability in the small of $m$-th order elliptic equations in weighted grand Sobolev spaces ⋮ On the weak solvability of a nonlocal boundary value problem for the Laplace equation in an unbounded domain ⋮ On solvability in the small and Schauder-type estimates for higher order elliptic equations in grand Sobolev spaces (nonseparable case) ⋮ On the Fredholmness of the Dirichlet problem for a second-order elliptic equation in grand-Sobolev spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The analogs of the Korovkin theorems in Banach function spaces ⋮ On basicity of exponential and trigonometric systems in grand Lebesgue spaces

Cites Work

• An introductory course in Lebesgue spaces
• Variable Lebesgue spaces. Foundations and harmonic analysis
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• Sublinear operators in generalized weighted Morrey spaces
• Basicity of a system of exponents with a piecewise linear phase in variable spaces
• The basis property of a perturbed system of exponentials in Morrey-type spaces
• On basicity of exponential systems in Morrey-type spaces
• Classical Fourier Analysis
• On the solvability of the Riemann boundary value problem in Morrey--Hardy classes
• Korovkin-type theorems and their statistical versions in grand Lebesgue spaces
• Survey on gradient estimates for nonlinear elliptic equations in various function spaces
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