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035   $a(DE-He213)978-3-030-03430-6
035   $a(PPN)235004243
035   $a(EXLCZ)994100000007746678
100   $a20190226d2019      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNonlinear Analysis - Theory and Methods /$fby Nikolaos S. Papageorgiou, Vicen?iu D. R?dulescu, Du?an D. Repov?
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (586 pages)
225 1 $aSpringer Monographs in Mathematics,$x1439-7382
311   $a3-030-03429-1 
327   $aPreface -- 1.Sobolev Spaces -- 2.Compact Operators and Operators of Monotone Type -- 3.Degree Theories -- 4.Partial Order, Fixed Point Theory, Variational Pronciples -- 5.Critical Point Theory -- 6.Morse Theory and Critical Groups -- References -- Index.
330   $aThis book emphasizes those basic abstract methods and theories that are useful in the study of nonlinear boundary value problems. The content is developed over six chapters, providing a thorough introduction to the techniques used in the variational and topological analysis of nonlinear boundary value problems described by stationary differential operators. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear equations as well as their applications to various processes arising in the applied sciences. They show how these diverse topics are connected to other important parts of mathematics, including topology, functional analysis, mathematical physics, and potential theory. Throughout the book a nice balance is maintained between rigorous mathematics and physical applications. The primary readership includes graduate students and researchers in pure and applied nonlinear analysis.
410  0$aSpringer Monographs in Mathematics,$x1439-7382
606   $aDifferential equations, Partial
606   $aMathematical physics
606   $aFunctional analysis
606   $aGlobal analysis (Mathematics)
606   $aManifolds (Mathematics)
606   $aCalculus of variations
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066
606   $aGlobal Analysis and Analysis on Manifolds$3https://scigraph.springernature.com/ontologies/product-market-codes/M12082
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120
615  0$aDifferential equations, Partial.
615  0$aMathematical physics.
615  0$aFunctional analysis.
615  0$aGlobal analysis (Mathematics)
615  0$aManifolds (Mathematics)
615  0$aCalculus of variations.
615 14$aPartial Differential Equations.
615 24$aMathematical Physics.
615 24$aFunctional Analysis.
615 24$aGlobal Analysis and Analysis on Manifolds.
615 24$aCalculus of Variations and Optimal Control; Optimization.
615 24$aMathematical Applications in the Physical Sciences.
676   $a530.15
700   $aPapageorgiou$b Nikolaos S$4aut$4http://id.loc.gov/vocabulary/relators/aut$01062930
702   $aRa?dulescu$b Vicent?iu D.$f1958-$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aRepovs?$b Dus?an$4aut$4http://id.loc.gov/vocabulary/relators/aut
906   $aBOOK
912   $a9910338248803321
996   $aNonlinear Analysis - Theory and Methods$92529269
997   $aUNINA