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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.Vrsta gradiva - znanstvena monografija ; neleposlovje za odrasleZaložništvo in izdelava - Boca Raton ; London ; New York : CRC Press, cop. 2015Jezik - angleškiISBN - 1-4987-0341-0; 978-1-4987-0341-3COBISS.SI-ID - 17325401
Avtor
Rǎdulescu, Vicenţiu, 1958- |
Repovš, Dušan, 1954-
Teme
matematična analiza |
metrični prostori |
prostori funkcij |
parcialne diferencialne enačbe |
variacijske metode |
optimizacija |
kvalitativna analiza |
variabilni eksponenti |
diferencialni operatorji |
Sobolovi prostori |
partial differential equations |
calculus of variations |
variational methods |
optimal control problems |
nonlinear eigenvalue problems |
Sobolev spaces |
spaces of measurable functions
Knjižnica/institucija |
Kraj | Akronim | Za izposojo | Druga zaloga |
---|---|---|---|---|
FMF in IMFM, Matematična knjižnica, Ljubljana | Ljubljana | MAKLJ |
na dom 2 izv.
|
|
Centralna tehniška knjižnica Univerze v Ljubljani | Ljubljana | CTK |
na dom 1 izv.
|
|
Institut Jožef Stefan, Ljubljana | Ljubljana | IJS |
na dom 1 izv.
|
|
Pedagoška fakulteta, Ljubljana | Ljubljana | PEFLJ |
na dom 1 izv.
|
|
Narodna in univerzitetna knjižnica, Ljubljana | Ljubljana | NUK |
v čitalnico 1 izv.
|
Vnos na polico
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Baze podatkov, v katerih je revija indeksirana
Ime baze podatkov | Področje | Leto |
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Povezave do osebnih bibliografij avtorjev | Povezave do podatkov o raziskovalcih v sistemu SICRIS |
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Rǎdulescu, Vicenţiu, 1958- | 29964 |
Repovš, Dušan, 1954- | 07083 |
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