Existence And Qualitative Properties Of Solutions To Nonlinear Schrodinger Poisson Systems
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| Author | : Vincenzo Ambrosio |
| Publisher | : Springer Nature |
| Total Pages | : 669 |
| Release | : 2021-04-19 |
| Genre | : Mathematics |
| ISBN | : 3030602206 |
This monograph presents recent results concerning nonlinear fractional elliptic problems in the whole space. More precisely, it investigates the existence, multiplicity and qualitative properties of solutions for fractional Schrödinger equations by applying suitable variational and topological methods. The book is mainly intended for researchers in pure and applied mathematics, physics, mechanics, and engineering. However, the material will also be useful for students in higher semesters and young researchers, as well as experienced specialists working in the field of nonlocal PDEs. This is the first book to approach fractional nonlinear Schrödinger equations by applying variational and topological methods.
| Author | : Vincenzo Ferone |
| Publisher | : Springer Nature |
| Total Pages | : 303 |
| Release | : 2021-06-12 |
| Genre | : Mathematics |
| ISBN | : 3030733637 |
This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20–24, 2019. This book will be of great interest for the mathematical community and in particular for researchers studying parabolic and elliptic PDEs. It covers many different fields of current research as follows: convexity of solutions to PDEs, qualitative properties of solutions to parabolic equations, overdetermined problems, inverse problems, Brunn-Minkowski inequalities, Sobolev inequalities, and isoperimetric inequalities.
| Author | : Catherine Sulem |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 363 |
| Release | : 2007-06-30 |
| Genre | : Mathematics |
| ISBN | : 0387227687 |
Filling the gap between the mathematical literature and applications to domains, the authors have chosen to address the problem of wave collapse by several methods ranging from rigorous mathematical analysis to formal aymptotic expansions and numerical simulations.
| Author | : |
| Publisher | : |
| Total Pages | : 932 |
| Release | : 2008 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Luis Vazquez |
| Publisher | : World Scientific |
| Total Pages | : 363 |
| Release | : 2003-05-22 |
| Genre | : Technology & Engineering |
| ISBN | : 9814486515 |
This conference was the third meeting organized in the framework of the European LOCNET project. The main topics discussed by this international research collaboration were localization by nonlinearity and spatial discreteness, and energy transfer (in crystals, biomolecules and Josephson arrays).
| Author | : Thierry Cazenave |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 346 |
| Release | : 2003 |
| Genre | : Mathematics |
| ISBN | : 0821833995 |
The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. This book presents various mathematical aspects of the nonlinear Schrodinger equation. It studies both problems of local nature and problems of global nature.
| Author | : Wenxiong Chen |
| Publisher | : World Scientific |
| Total Pages | : 342 |
| Release | : 2020-06-09 |
| Genre | : Mathematics |
| ISBN | : 9813224010 |
This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can follow easily, while it is advanced enough to include many new ideas, methods, and results that appeared recently in research literature, which researchers would find helpful. It focuses on introducing direct methods on the nonlocal problems without going through extensions, such as the direct methods of moving planes, direct method of moving spheres, direct blowing up and rescaling arguments, and so on. Different from most other books, it emphasizes on illuminating the ideas behind the formal concepts and proofs, so that readers can quickly grasp the essence.
| Author | : Nikolaos S. Papageorgiou |
| Publisher | : Springer |
| Total Pages | : 586 |
| Release | : 2019-02-26 |
| Genre | : Mathematics |
| ISBN | : 3030034305 |
This 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.
| Author | : Antonio Ambrosetti |
| Publisher | : Cambridge University Press |
| Total Pages | : 334 |
| Release | : 2007-01-04 |
| Genre | : Mathematics |
| ISBN | : 9780521863209 |
A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and engineers, topics covered range from elementary tools of bifurcation theory and analysis to critical point theory and elliptic partial differential equations. The book is amply illustrated with many exercises.
| Author | : Joachim Asch |
| Publisher | : Springer |
| Total Pages | : 491 |
| Release | : 2006-09-09 |
| Genre | : Science |
| ISBN | : 3540342737 |
This selection of outstanding articles – an outgrowth of the QMath9 meeting for young scientists – covers new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and more. The book’s pedagogical style makes it a useful introduction to the research literature for postgraduate students. For more expert researchers it will serve as a concise source of modern reference.
