Sobolev Spaces

Chapter 1 Basic Properties of Sobolev Spaces

Chapter 2 Inequalities for Functions Vanishing at the Boundary

Chapter 3 Conductor and Capacitary Inequalities with Applications to Sobolev-Type Embeddings

Chapter 4 Generalizations for Functions on Manifolds and Topological Spaces

Chapter 5 Integrability of Functions in the Space $L^{1}_{1}(\varOmega )$

Chapter 6 Integrability of Functions in the Space $L^{1}_{p}(\varOmega )$

Chapter 7 Continuity and Boundedness of Functions in Sobolev Spaces

Chapter 9 Space of Functions of Bounded Variation

Chapter 10 Certain Function Spaces, Capacities, and Potentials

Chapter 11 Capacitary and Trace Inequalities for Functions in ℝ n with Derivatives of an Arbitrary Order

Chapter 12 Pointwise Interpolation Inequalities for Derivatives and Potentials

Chapter 13 A Variant of Capacity

Chapter 14 Integral Inequality for Functions on a Cube

Chapter 15 Embedding of the Space $\mathaccent"7017{L}^{l}_{p}(\varOmega)$ into Other Function Spaces

Chapter 16 Embedding $\mathaccent "7017{L}^{l}_{p}(\varOmega, \nu) \subset W^{m}_{r}(\varOmega)$

Chapter 17 Approximation in Weighted Sobolev Spaces

Chapter 18 Spectrum of the Schrödinger Operator and the Dirichlet Laplacian