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Differential Operators on Spaces of Variable Integrability

David E. Edmunds, Jan Lang, and Osvaldo Méndez
Publisher: 
World Scientific
Publication Date: 
2014
Number of Pages: 
208
Format: 
Hardcover
Price: 
58.00
ISBN: 
9789814596312
Category: 
Monograph
We do not plan to review this book.
  • Preliminaries:
    • The Geometry of Banach Spaces
    • Spaces with Variable Exponent
  • Sobolev Spaces with Variable Exponent:
    • Definition and Functional-analytic Properties
    • Sobolev Embeddings
    • Compact Embeddings
    • Riesz Potentials
    • Poincaré-type Inequalities
    • Embeddings
    • Hölder Spaces with Variable Exponents
    • Compact Embeddings Revisited
  • The p(·)-Laplacian:
    • Preliminaries
    • The p(·)-Laplacian
    • Stability with Respect to Integrability
  • Eigenvalues:
    • The Derivative of the Modular
    • Compactness and Eigenvalues
    • Modular Eigenvalues
    • Stability with Respect to the Exponent
    • Convergence Properties of the Eigenfunctions
  • Approximation on Lp Spaces:
    • s-numbers and n-widths
    • A Sobolev Embedding
    • Integral Operators