Elliptic partial differential equations: existence and regularity of distributional solutions
Elliptic partial differential equations is one of the main and most active areas in mathematics. In our book we study linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason the book is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.
Read More ↓Title Statements
- Full title :Elliptic partial differential equations : existence and regularity of distributional solutions / Lucio Boccardo, Gisella Croce.
Summary
Elliptic partial differential equations is one of the main and most active areas in mathematics. In our book we study linear and nonlinear elliptic problems in divergence form, with the aim of providing classical results, as well as more recent developments about distributional solutions. For this reason the book is addressed to master's students, PhD students and anyone who wants to begin research in this mathematical field.
Read More ↓Edition Statements
- Publication Date:©2014
Publication Statements
- Publisher(s):De Gruyter Mouton
- Place of Publication:Boston
- Language:eng
- Publication Date:©2014
The Physical Object
- Description:1 online resource (ix, 192 pages)
Edition Identifiers
- ISBN:9783110315424, 3110315424
- oclc:ocn868918259
- LC Classification:QA377
- Dewey Decimal:515/.3533
Table of Contents
Some fixed point theorems -- Preliminaries of real analysis -- Linear and semilinear elliptic equations -- Nonlinear elliptic equations -- Summability of the solutions -- H2 regularity for linear problems -- Spectral analysis for linear operators -- Calculus of variations and Euler's equation -- Natural growth problems -- Problems with low summable sources -- Uniqueness -- A problem with polynomial growth -- A problem with degenerate coercivity.
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