Quasilinear Elliptic Equations with Degenerations and Singularities / Edition 1

by Pavel Drábek, Alois Kufner, Francesco Nicolosi

Overview

No detailed description available for "Quasilinear Elliptic Equations with Degenerations and Singularities".

Product Details

ISBN-13:	9783110154900
Publisher:	De Gruyter
Publication date:	06/30/1997
Series:	De Gruyter Series in Nonlinear Analysis and Applications , #5
Pages:	231
Product dimensions:	6.10(w) x 9.06(h) x (d)
Age Range:	18 Years

Editorial Reviews

"The book is very well written and will be a valuable source for specialists in differential equations, functional analysis, operator theory, and mathematical physics, as well as for non-specialists who want to get an idea of this fascinating field of contemporary nonlinear analysis. The authors have achieved a double goal. On the one hand, they provide a self-contained account which describes the state-of-the-art of nonlinear elliptic equations with degenerations and singularities; on the other, their book will certainly stimulate further research in this field. The reviewer regards the second aspect as at least as important as the first one: in fact, in his opinion a book should open a new field, rather than close it." Zentralblatt für Mathematik

From the Publisher

Explores the theory of nonlinear boundary-value problems for elliptic operators with degeneration and singularity. Focuses on the existence and bifurcation of weak solutions in appropriate weighted Sobolev spaces, using functional analytic methods based on the variational approach and the theory of the topological degree of monotone type nonlinear mappings. Offers existence results for second-order boundary-value problems on bounded and unbounded domains, and for higher-order boundary-value problems in a rather general setting. Also includes an extensive study of the

-Laplacian and its degenerated and singular modifications. Assumes some basic knowledge of nonlinear functional analysis and differential equations. Annotation c. by Book News, Inc., Portland, Or.

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