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Nonlinear Elliptic Partial Differential Equations: An Introduction
Nonlinear Elliptic Partial Differential Equations: An Introduction
Hervé Le Dret
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This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.
After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite dimensional fixed point methods, the Galerkin method, the maximum principle, elliptic regularity, and the calculus of variations.
Aimed at graduate students and researchers, this textbook contains numerous examples and exercises and provides several comments and suggestions for further study.
Categories:
Year:
2018
Edition:
1st ed. 2018
Publisher:
Springer
Language:
English
Pages:
253
ISBN 10:
3319783890
ISBN 13:
9783319783895
ISBN:
3319783890,9783319783895
Series:
Universitext
Your tags:
Differential Equations;Applied;Mathematics;Science & Math;Calculus;Pure Mathematics;Mathematics;Science & Math;Functional Analysis;Pure Mathematics;Mathematics;Science & Math
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