Order Structure and Topological Methods in Nonlinear Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Order Structure and Topological Methods in Nonlinear Partial Differential Equations write by Yihong Du. This book was released on 2006. Order Structure and Topological Methods in Nonlinear Partial Differential Equations available in PDF, EPUB and Kindle. The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
Order Structure and Topological Methods in Nonlinear Partial Differential Equations
Order Structure and Topological Methods in Nonlinear Partial Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Order Structure and Topological Methods in Nonlinear Partial Differential Equations write by Yihong Du. This book was released on 2006. Order Structure and Topological Methods in Nonlinear Partial Differential Equations available in PDF, EPUB and Kindle.
Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications
Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications write by Yihong Du. This book was released on 2006-01-12. Order Structure And Topological Methods In Nonlinear Partial Differential Equations: Vol. 1: Maximum Principles And Applications available in PDF, EPUB and Kindle. The maximum principle induces an order structure for partial differential equations, and has become an important tool in nonlinear analysis. This book is the first of two volumes to systematically introduce the applications of order structure in certain nonlinear partial differential equation problems.The maximum principle is revisited through the use of the Krein-Rutman theorem and the principal eigenvalues. Its various versions, such as the moving plane and sliding plane methods, are applied to a variety of important problems of current interest. The upper and lower solution method, especially its weak version, is presented in its most up-to-date form with enough generality to cater for wide applications. Recent progress on the boundary blow-up problems and their applications are discussed, as well as some new symmetry and Liouville type results over half and entire spaces. Some of the results included here are published for the first time.
Variational and Topological Methods in the Study of Nonlinear Phenomena
Variational and Topological Methods in the Study of Nonlinear Phenomena - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Variational and Topological Methods in the Study of Nonlinear Phenomena write by V. Benci. This book was released on 2012-12-06. Variational and Topological Methods in the Study of Nonlinear Phenomena available in PDF, EPUB and Kindle. This volume covers recent advances in the field of nonlinear functional analysis and its applications to nonlinear partial and ordinary differential equations, with particular emphasis on variational and topological methods. A broad range of topics is covered, including: * concentration phenomena in pdes * variational methods with applications to pdes and physics * periodic solutions of odes * computational aspects in topological methods * mathematical models in biology Though well-differentiated, the topics covered are unified through a common perspective and approach. Unique to the work are several chapters on computational aspects and applications to biology, not usually found with such basic studies on pdes and odes. The volume is an excellent reference text for researchers and graduate students in the above mentioned fields. Contributors: M. Clapp, M. Del Pino, M.J. Esteban, P. Felmer, A. Ioffe, W. Marzantowicz, M. Mrozek, M. Musso, R. Ortega, P. Pilarczyk, E. Séré, E. Schwartzman, P. Sintzoff, R. Turner , M. Willem.
Analysis and Topology in Nonlinear Differential Equations
Analysis and Topology in Nonlinear Differential Equations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis and Topology in Nonlinear Differential Equations write by Djairo G de Figueiredo. This book was released on 2014-06-16. Analysis and Topology in Nonlinear Differential Equations available in PDF, EPUB and Kindle. This volume is a collection of articles presented at the Workshop for Nonlinear Analysis held in João Pessoa, Brazil, in September 2012. The influence of Bernhard Ruf, to whom this volume is dedicated on the occasion of his 60th birthday, is perceptible throughout the collection by the choice of themes and techniques. The many contributors consider modern topics in the calculus of variations, topological methods and regularity analysis, together with novel applications of partial differential equations. In keeping with the tradition of the workshop, emphasis is given to elliptic operators inserted in different contexts, both theoretical and applied. Topics include semi-linear and fully nonlinear equations and systems with different nonlinearities, at sub- and supercritical exponents, with spectral interactions of Ambrosetti-Prodi type. Also treated are analytic aspects as well as applications such as diffusion problems in mathematical genetics and finance and evolution equations related to electromechanical devices.
