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Michel Chipot

Elliptic Equations: An Introductory Course

Birkhäuser Advanced Texts Basler Lehrbücher

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 complicated refinements. Apart from the basic th…

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Xavier Ros-Oton, Xavier Fernández-Real

Integro-Differential Elliptic Equations

Progress in Mathematics -Band 350

This monograph offers a self-contained introduction to the regularity theory for integro-differential elliptic equations, mostly developed in the 21st century. This class of equations finds relevance in f…

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Lucio Damascelli, Filomena Pacella

Morse Index of Solutions of Nonlinear Elliptic Equations

De Gruyter Series in Nonlinear Analysis and Applications, 30

This monograph presents in a unified manner the use of the Morse index, and especially its connections to the maximum principle, in the study of nonlinear elliptic equations. The knowledge or a bound on t…

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