Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem - 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 Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem write by Stefan P. Ivanov. This book was released on 2011. Extremals for the Sobolev Inequality and the Quaternionic Contact Yamabe Problem available in PDF, EPUB and Kindle. The aim of this book is to give an account of some important new developments in the study of the Yamabe problem on quaternionic contact manifolds. This book covers the conformally flat case of the quaternionic Heisenberg group or sphere, where complete and detailed proofs are given, together with a chapter on the conformal curvature tensor introduced very recently by the authors. The starting point of the considered problems is the well-known Folland?Stein Sobolev type embedding and its sharp form that is determined based on geometric analysis. This book also sits at the interface of the generalization of these fundamental questions motivated by the Carnot?Caratheodory geometry of quaternionic contact manifolds, which have been recently the focus of extensive research motivated by problems in analysis, geometry, mathematical physics and the applied sciences. Through the beautiful resolution of the Yamabe problem on model quaternionic contact spaces, the book serves as an introduction to this field for graduate students and novice researchers, and as a research monograph suitable for experts as well.
Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem
Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem - 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 Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem write by A. L. Carey. This book was released on 2014-08-12. Quaternionic Contact Einstein Structures and the Quaternionic Contact Yamabe Problem available in PDF, EPUB and Kindle. A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A "3-Hamiltonian form" of infinitesimal conformal automorphisms of quaternionic contact structures is presented.
Modern Problems in PDEs and Applications
Modern Problems in PDEs 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 Modern Problems in PDEs and Applications write by Marianna Chatzakou. This book was released on 2024. Modern Problems in PDEs and Applications available in PDF, EPUB and Kindle. The principal aim of the volume is gathering all the contributions given by the speakers (mini courses) and some of the participants (short talks) of the summer school "Modern Problems in PDEs and Applications" held at the Ghent Analysis and PDE Center from 23 August to 2 September 2023. The school was devoted to the study of new techniques and approaches for solving partial differential equations, which can either be considered or arise from the physical point of view or the mathematical perspective. Both sides are extremely important since theories and methods can be developed independently, aiming to gather each other in a common objective. The aim of the summer school was to progress and advance in the problems considered. Note that real-world problems and their applications are classical study trends in physical or mathematical modelling. The summer school was organised in a friendly atmosphere and synergy, and it was an excellent opportunity to promote and encourage the development of the subject in the community.
Nonlinear Problems with Lack of Compactness
Nonlinear Problems with Lack of Compactness - 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 Nonlinear Problems with Lack of Compactness write by Giovanni Molica Bisci. This book was released on 2021-02-08. Nonlinear Problems with Lack of Compactness available in PDF, EPUB and Kindle. This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.
Harmonic Analysis and Partial Differential Equations
Harmonic Analysis and 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 Harmonic Analysis and Partial Differential Equations write by Michael Ruzhansky. This book was released on 2023-03-06. Harmonic Analysis and Partial Differential Equations available in PDF, EPUB and Kindle. This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.
