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035   $a(DE-He213)978-981-99-8692-7
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100   $a20240426d2024      u|         0
101 0 $aeng
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181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aNonlinear Second Order Elliptic Equations /$fby Mingxin Wang, Peter Y. H. Pang
205   $a1st ed. 2024.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2024.
215   $a1 online resource (319 pages)
311 08$a9789819986910 
327   $aPreface -- Preliminaries -- Eigenvalue problems of second order linear elliptic operators -- Upper and lower solutions method for single equations -- Upper and lower solutions method for systems -- Theory of topological degree in cones and applications -- Systems with homogeneous Neumann boundary conditions -- P-Laplace equations and systems -- Appendix A: Basic results of Sobolev spaces and nonlinear functional analysis -- Appendix B: Basic theory of elliptic equations -- References -- Index.
330   $aThis book focuses on the following three topics in the theory of boundary value problems of nonlinear second order elliptic partial differential equations and systems: (i) eigenvalue problem, (ii) upper and lower solutions method, (iii) topological degree method, and deals with the existence of solutions, more specifically non-constant positive solutions, as well as the uniqueness, stability and asymptotic behavior of such solutions. While not all-encompassing, these topics represent major approaches to the theory of partial differential equations and systems, and should be of significant interest to graduate students and researchers. Two appendices have been included to provide a good gauge of the prerequisites for this book and make it reasonably self-contained. A notable strength of the book is that it contains a large number of substantial examples. Exercises for the reader are also included. Therefore, this book is suitable as a textbook for graduate students who have already had an introductory course on PDE and some familiarity with functional analysis and nonlinear functional analysis, and as a reference for researchers.
606   $aDifferential equations
606   $aFunctional analysis
606   $aBiomathematics
606   $aPopulation biology
606   $aDifferential Equations
606   $aFunctional Analysis
606   $aMathematical and Computational Biology
606   $aPopulation Dynamics
615  0$aDifferential equations.
615  0$aFunctional analysis.
615  0$aBiomathematics.
615  0$aPopulation biology.
615 14$aDifferential Equations.
615 24$aFunctional Analysis.
615 24$aMathematical and Computational Biology.
615 24$aPopulation Dynamics.
676   $a515.35
700   $aWang$b Mingxin$01738083
701   $aPang$b Peter Y. H$01738084
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
912   $a9910855384303321
996   $aNonlinear Second Order Elliptic Equations$94160093
997   $aUNINA