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Variational Methods for Potential Operator Equations : With Applications to Nonlinear Elliptic Equations :  With Applications to Nonlinear Elliptic Equations - Jan H. Chabrowski

Variational Methods for Potential Operator Equations : With Applications to Nonlinear Elliptic Equations

With Applications to Nonlinear Elliptic Equations

Hardcover

Published: 1997
For Ages: 22+ years old
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The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics.While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.

Constrained minimizationp. 1
Applications of Lusternik-Schnirelman theoryp. 39
Nonhomogeneous potentialsp. 74
Potentials with covariance conditionp. 115
Eigenvalues and level setsp. 128
Generalizations of the mountain pass theoremp. 149
Nondifferentiable functionalsp. 167
Concentration-compactness principle - subcritical casep. 198
Concentration-compactness principle - critical casep. 224
Sobolev spacesp. 253
Embedding theoremsp. 254
Compact embeddings of spaces W[superscript 1,p](R[superscript n]) and D[superscript 1,p](R[superscript n])p. 255
Conditions of concentration and uniform decay at infinityp. 259
Compact embedding for H[actual symbol not reproducible](R[superscript n])p. 261
Schwarz symmetrizationp. 264
Pointwise convergencep. 264
Gateaux derivativesp. 266
Bibliographyp. 270
Glossaryp. 287
Indexp. 289
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9783110152692
ISBN-10: 311015269X
Series: Perspectives in Analytical Philosophy
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 299
Published: 1997
Country of Publication: DE
Dimensions (cm): 24.41 x 16.99  x 1.75
Weight (kg): 0.68