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.
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.
Concentration Compactness
Concentration 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 Concentration Compactness write by Kyril Tintarev. This book was released on 2007. Concentration Compactness available in PDF, EPUB and Kindle. Concentration compactness is an important method in mathematical analysis which has been widely used in mathematical research for two decades. This unique volume fulfills the need for a source book that usefully combines a concise formulation of the method, a range of important applications to variational problems, and background material concerning manifolds, non-compact transformation groups and functional spaces. Highlighting the role in functional analysis of invariance and, in particular, of non-compact transformation groups, the book uses the same building blocks, such as partitions of domain and partitions of range, relative to transformation groups, in the proofs of energy inequalities and in the weak convergence lemmas.
Variational Methods in Nonlinear Analysis
Variational Methods in Nonlinear Analysis - 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 Methods in Nonlinear Analysis write by Antonio Ambrosetti. This book was released on 1995. Variational Methods in Nonlinear Analysis available in PDF, EPUB and Kindle. Very Good,No Highlights or Markup,all pages are intact.
Weak Convergence Methods For Semilinear Elliptic Equations
Weak Convergence Methods For Semilinear Elliptic 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 Weak Convergence Methods For Semilinear Elliptic Equations write by Jan Chabrowski. This book was released on 1999-10-19. Weak Convergence Methods For Semilinear Elliptic Equations available in PDF, EPUB and Kindle. This book deals with nonlinear boundary value problems for semilinear elliptic equations on unbounded domains with nonlinearities involving the subcritical Sobolev exponent. The variational problems investigated in the book originate in many branches of applied science. A typical example is the nonlinear Schrödinger equation which appears in mathematical modeling phenomena arising in nonlinear optics and plasma physics. Solutions to these problems are found as critical points of variational functionals. The main difficulty in examining the compactness of Palais-Smale sequences arises from the fact that the Sobolev compact embedding theorems are no longer true on unbounded domains. In this book we develop the concentration-compactness principle at infinity, which is used to obtain the relative compactness of minimizing sequences. This tool, combined with some basic methods from the Lusternik-Schnirelman theory of critical points, is to investigate the existence of positive, symmetric and nodal solutions. The book also emphasizes the effect of the graph topology of coefficients on the existence of multiple solutions.
