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The aim of this book is to introduce the reader to different topics of the theory of elliptic partial differential equations by avoiding technicalities and refinements. Apart from the basic theory of equations in divergence form it includes subjects such as singular perturbation problems, homogenization, computations, asymptotic behaviour of problems in cylinders, elliptic systems, nonlinear problems, regularity theory, Navier-Stokes system, p-Laplace equation. Just a minimum on Sobolev spaces has been introduced, and work or integration on the boundary has been carefully avoided to keep the reader's attention on the beauty and variety of these issues. The chapters are relatively independent of each other and can be read or taught separately. Numerous results presented here are original and have not been published elsewhere. The book will be of interest to graduate students and faculty members specializing in partial differential equations.

differentiaalvergelijkingen --- Partial differential equations --- Elliptic functions --- Fonctions elliptiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Differential equations, Elliptic.

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A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.* Written by well-known experts in the field * Self contained volume in series covering one of the most rapid developing topics in mathematics* Informed and thoroughly updated for students, academics and researchers

Differential equations, Elliptic. --- Differential equations, Partial. --- Differential equations. --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Differential equations --- Differential equations, Partial --- Differential equations, Elliptic

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Differential equations [Partial ] --- Differential equations, Partial - Congresses.

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The present volume is dedicated to celebrate the work of the renowned mathematician Herbert Amann, who had a significant and decisive influence in shaping Nonlinear Analysis. Most articles published in this book, which consists of 32 articles in total, written by highly distinguished researchers, are in one way or another related to the scientific works of Herbert Amann. The contributions cover a wide range of nonlinear elliptic and parabolic equations with applications to natural sciences and engineering. Special topics are fluid dynamics, reaction-diffusion systems, bifurcation theory, maximal regularity, evolution equations, and the theory of function spaces.

Differential equations, Partial. --- Differential equations, Elliptic. --- Differential equations, Parabolic. --- Bifurcation theory. --- Fluid mechanics. --- Hydromechanics --- Continuum mechanics --- Differential equations, Nonlinear --- Stability --- Parabolic differential equations --- Parabolic partial differential equations --- Differential equations, Partial --- Elliptic differential equations --- Elliptic partial differential equations --- Linear elliptic differential equations --- Differential equations, Linear --- Partial differential equations --- Numerical solutions --- Global analysis (Mathematics). --- Differential equations, partial. --- Potential theory (Mathematics). --- Numerical analysis. --- Mathematical optimization. --- Analysis. --- Partial Differential Equations. --- Potential Theory. --- Numerical Analysis. --- Calculus of Variations and Optimal Control; Optimization. --- Fluid- and Aerodynamics. --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Green's operators --- Green's theorem --- Potential functions (Mathematics) --- Potential, Theory of --- Mechanics --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis. --- Analysis (Mathematics). --- Partial differential equations. --- Calculus of variations. --- Fluids. --- Hydraulics --- Physics --- Hydrostatics --- Permeability --- Isoperimetrical problems --- Variations, Calculus of --- 517.1 Mathematical analysis

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The book could be a good companion for any graduate student in partial differential equations or in applied mathematics. Each chapter brings indeed new ideas and new techniques which can be used in these fields. The differents chapters can be read independently and are of great pedagogical value. The advanced researcher will find along the book the most recent achievements in various fields.·Independent chapters·Most recent advances in each fields·Hight didactic quality ·Self contained·Excellence of the contributors·Wide range of topics

Differential equations --- Differential equations, Partial