Nonlinear Elliptic Partial Differential Equations (eBook, PDF)
Hervé Le Dret
eBook, PDF

Nonlinear Elliptic Partial Differential Equations (eBook, PDF)

An Introduction

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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 numerou...

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