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Partial differential equations with variable exponents : variational methods and qualitative analysisRǎdulescu, Vicenţiu, 1958- ; Repovš, Dušan, 1954-Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear ... partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type. The book presents the most important variational methods for elliptic PDEs described by nonhomogeneous differential operators and containing one or more power-type nonlinearities with a variable exponent. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear elliptic equations as well as their applications to various processes arising in the applied sciences. The analysis developed in the book is based on the notion of a generalized or weak solution. This approach leads not only to the fundamental results of existence and multiplicity of weak solutions but also to several qualitative properties, including spectral analysis, bifurcation, and asymptotic analysis. The book examines the equations from different points of view while using the calculus of variations as the unifying theme. Readers will see how all of these diverse topics are connected to other important parts of mathematics, including topology, differential geometry, mathematical physics, and potential theory.Type of material - scientific monograph ; adult, seriousPublication and manufacture - Boca Raton ; London ; New York : CRC Press, cop. 2015Language - englishISBN - 1-4987-0341-0; 978-1-4987-0341-3COBISS.SI-ID - 17325401
Author
Rǎdulescu, Vicenţiu, 1958- |
Repovš, Dušan, 1954-
Topics
Parcialne diferencialne enačbe |
Variacijske metode |
kvalitativna analiza |
partial differential equations |
calculus of variations |
variational methods |
optimal control problems |
nonlinear eigenvalue problems |
Sobolev spaces |
spaces of measurable functions
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DRS, in which the journal is indexed
Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Rǎdulescu, Vicenţiu, 1958- | 29964 |
Repovš, Dušan, 1954- | 07083 |
Source: Personal bibliographies
and: SICRIS
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