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- Title Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations
- Author(s) Vicentiu D. Radulescu
- Publisher: Hindawi Publishing Corporation; First edition (December 1, 2008)
- Paperback 210 pages
- Language: English
- ISBN-10: 9774540395
- ISBN-13: 978-9774540394
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Book Description
The book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations. These equations can be seen as nonlinear versions of the classical Laplace equation, and they appear as mathematical models in different branches of physics, chemistry, biology, genetics and engineering and are also relevant in differential geometry and relativistic physics. Much of the modern theory of such equations is based on the calculus of variations and functional analysis.
Concentrating on single-valued or multivalued elliptic equations with nonlinearities of various types, the aim of this volume is to obtain sharp existence of nonexistence results, as well as decay rates for general classes of solutions. Many technically relevant questions are presented and analyzed in detail. A systematic picture of the most relevant phenomena is obtained for the equations under study, including bifurcation, stability, asymptotic analysis, and optimal regularity of solutions.
About the Authors-
Dr. Vicentiu Radulescu has been a Full Professor at the Department of Mathematics, University of Craiova, Romania Since 1998. Since 2007, he has been a Senior Researcher at the Institute of Mathematics "Simion Stoilow" of the Romanian Academy, Bucharest. 1995-1998: Associate Professor, University of Craiova, Romania. 1992-1995: Lecturer, University of Craiova, Romania. 1990-1992: Assistant, Department of Mathematics, University of Craiova, Romania. 1982-1990: High-school Mathematics teacher. 1977-1982: Faculty of Mathematics, University of Craiova, Romania.
Dr. Radulescu is a reviewer for Mathematical Reviews (since 1993), Zentralblatt fur Mathematik (since 1995) and Applied Mechanics Review (since 1999). He is also a member of the American Mathematical Society (since 1995), the European Mathematical Society (since 2001), the Societe de Mathematiques Appliquees et Industrielles (SMAI) de France (since 2002) and of ISAAC - the International Society for Analysis, its Applications and Computation (since 1997).
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