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Record Nr. |
UNINA9910882898203321 |
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Autore |
Hu Shouchuan |
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Titolo |
Research Topics in Analysis, Volume II : Applications / / by Shouchuan Hu, Nikolaos S. Papageorgiou |
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Pubbl/distr/stampa |
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Cham : , : Springer Nature Switzerland : , : Imprint : Birkhäuser, , 2024 |
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ISBN |
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9783031641893 |
9783031641886 |
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Edizione |
[1st ed. 2024.] |
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Descrizione fisica |
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1 online resource (731 pages) |
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Collana |
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Birkhäuser Advanced Texts Basler Lehrbücher, , 2296-4894 |
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Altri autori (Persone) |
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Disciplina |
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Soggetti |
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Functional analysis |
Topology |
Mathematical optimization |
Calculus of variations |
Mathematics |
Functional Analysis |
Calculus of Variations and Optimization |
Applications of Mathematics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Degree Theory -- Fixed Point Theory -- Critical Point Theory -- Spectra of Differential Operators -- Elliptic Boundary Value Problems -- Evolution Equations -- Calculus of Variations -- Mathematical Economics and Game Theory -- References -- Index. |
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Sommario/riassunto |
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This book, the second of two volumes, presents significant applications for understanding modern analysis. It empowers young researchers with key techniques and applications to explore various subfields of this broad subject and introduces relevant frameworks for immediate deployment. The applications list begins with Degree Theory, a useful tool for studying nonlinear equations. Chapter 2 deals with Fixed Point Theory, and Chapter 3 introduces Critical Point Theory. Chapter 4 presents the main spectral properties of linear, nonlinear, anisotropic, and double-phase differential operators. Chapter 5 covers semilinear and nonlinear elliptic equations with different boundary conditions, |
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while Chapter 6 addresses dynamic systems monitored by ordinary and partial differential equations. Chapter 7 delves into optimal control problems, and Chapter 8 discusses some economic models, providing a brief presentation of Game Theory and Nash equilibrium. By offering a clear and comprehensive overview of modern analysis tools and applications, this work can greatly benefit mature graduate students seeking research topics, as well as experienced researchers interested in this vast and rich field of mathematics. |
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