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Nonlinear Potential Theory and Weighted Sobolev Spaces

The book systematically develops the nonlinear potential theory connected with the weighted Sobolev spaces, where the weight usually;

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General Parabolic Mixed Order Systems in Lp and Applications

, Bessel potential spaces, and Triebel-Lizorkin spaces. The last-mentioned class appears in a natural way as traces of Lp-Lq-Sobolev spaces. We;

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Nonlinear Analysis on Manifolds

This volume offers an expanded version of lectures given at the Courant Institute on the theory of Sobolev spaces on Riemannian manifolds;

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Sobolev Spaces

Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding;

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Around the Research of Vladimir Maz'ya I

The fundamental contributions of Professor Maz'ya to the theory of function spaces and especially Sobolev spaces are well known and often;

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Partial Differential Equations III

problems are studied. It also introduces such analytical tools as the theory of L Sobolev spaces, H lder spaces, Hardy spaces, and Morrey spaces;

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Sobolev Maps to the Circle

The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied;

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Relative Index Theory, Determinants And Torsion For Open Manifolds

in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular;

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Fuchsian Reduction

This four-part text beautifully interweaves theory and applications in Fuchsian Reduction. Background results in weighted Sobolev and;

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Beyond Sobolev and Besov

of solutions in Besov and fractional Sobolev spaces. In particular, it studies regularity estimates of PDEs of elliptic, parabolic and hyperbolic type;

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Encyclopedia of Mathematics and its Applications

, functional analysis, mathematical physics, and potential theory.;

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Sobolev Spaces On Metric Measure Spaces

Sobolev spaces, then explores geometric implications of the critical Poincare inequality, and indicates numerous examples of spaces satisfying;

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Differentiable Functions On Bad Domains

decades, these spaces have been intensively studied and by now many problems associated with them have been solved. However, the theory of these;

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Theory of Function Spaces IV

This book is the continuation of the Theory of Function Spaces trilogy, published by the same author in this series and now part;

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Theory of Function Spaces IV

This book is the continuation of the Theory of Function Spaces trilogy, published by the same author in this series and now part;

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Measure of Non-Compactness for Integral Operators in Weighted Lebesgue Spaces

This book is devoted to the measure of non-compactness (essential norm) in weighted Lebesgue spaces for maximal, potential and singular;

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Fourier Analysis and Partial Differential Equations

discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear;

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Cambridge Studies in Advanced Mathematics

discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear;

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Green's Functions and Boundary Value Problems

analysis, functional analysis, nonlinear analysis, nonlinear partial differential equations, integral equations, approximation theory, and;

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Moduli of Weighted Hyperplane Arrangements

of moduli spaces play a crucial role in Number Theory, String Theory, and Quantum Field Theory - to mention just a few. In particular, the notion;

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Linear and Multilinear Algebra and Function Spaces

recent progress on local spectrum-preserving maps. Several articles in the volume present results about weighted spaces and algebras;

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Weighted Inequalities Involving P-quasiconcave Operators

Some problems in mathematical analysis (e.g., in theory of function spaces, in approximation theory or in interpolation theory) lead to the;

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Semilinear Elliptic Equations for Beginners

. Requiring a basic knowledge of Analysis, Functional Analysis and the most common function spaces, such as Lebesgue and Sobolev spaces, this book;

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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;

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Weakly Differentiable Functions

. Both classes of functions, Sobolev spaces and the space of functions of bounded variation (BV func tions), have undergone considerable;

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Geometrical Optics and Related Topics

which are discussed are Sobolev spaces in Weyl-Hormander calculus, local solvability for pseudodifferential equations, and hypoellipticity for;

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A First Course in Sobolev Spaces

advanced undergraduate course in functions of one variable and one for a graduate course on Sobolev functions. The first part develops the theory;

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