Differential operators on spaces of variable integrability /

The theory of Lebesgue and Sobolev spaces with variable integrability is experiencing a steady expansion, and is the subject of much vigorous research by functional analysts, function-space analysts and specialists in nonlinear analysis. These spaces have attracted attention not only because of thei...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Edmunds, D. E. (David Eric) (Autor), Lang, Jan (Autor), Mendez, Osvaldo (Osvaldo David) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Jersey : World Scientific, [2014]
Temas:
Function spaces.
Sobolev spaces.
Differential operators.
Espaces fonctionnels.
Espaces de Sobolev.
Opérateurs différentiels.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Differential operators
Function spaces
Sobolev spaces
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Preliminaries. 1.1. The geometry of Banach spaces. 1.2. Spaces with variable exponent
  • 2. Sobolev spaces with variable exponent. 2.1. Definition and functional-analytic properties. 2.2. Sobolev embeddings. 2.3. Compact embeddings. 2.4. Riesz potentials. 2.5. Poincare-type inequalities. 2.6. Embeddings. 2.7. Holder spaces with variable exponents. 2.8. Compact embeddings revisited
  • 3. The p[symbol]-Laplacian. 3.1. Preliminaries. 3.2. The p[symbol]-Laplacian. 3.3. Stability with respect to integrability
  • 4. Eigenvalues. 4.1. The derivative of the modular. 4.2. Compactness and Eigenvalues. 4.3. Modular Eigenvalues. 4.4. Stability with respect to the exponent. 4.5. Convergence properties of the Eigenfunctions
  • 5. Approximation on Lp spaces. 5.1. s-numbers and n-widths. 5.2. A Sobolev embedding. 5.3. Integral operators.

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