WorldCat Identities

Zou, Wenming 1966-

Works: 7 works in 40 publications in 1 language and 1,484 library holdings
Roles: Author, Other, Thesis advisor
Publication Timeline
Most widely held works by Wenming Zou
Critical point theory and its applications by Wenming Zou( Book )

19 editions published in 2006 in English and held by 231 WorldCat member libraries worldwide

"Since the birth of the calculus of variations, researchers have discovered that variational methods, when they apply, can obtain better results than most other methods. Moreover, they apply in a very large number of situations. It was realized many years ago that the solutions of a great number of problems are in effect critical points of functionals. Critical Point Theory and Its Applications presents some of the latest research in the area of critical point theory. Researchers have obtained many new results recently using this approach, and in most cases comparable results have not been obtained with other methods. This book describes the methods and presents the newest applications. The topics covered in the book include extrema, even valued functionals, weak and double linking, sign changing solutions, Morse inequalities, and cohomology groups. The applications described include Hamiltonian systems, Schrodinger equations and systems, jumping nonlinearities, elliptic equations and systems, superlinear problems and beam equations. Many minimax theorems are established without the use of the (PS) compactness condition."--Publisher's website
Sign-changing critical point theory by Wenming Zou( Book )

15 editions published in 2008 in English and held by 104 WorldCat member libraries worldwide

"Many nonlinear problems in physics, engineering, biology, and social sciences can be reduced to finding critical points of functionals. While minimax and Morse theories provide answers to many situations and problems on the existence of multiple critical points of a functional, they often cannot provide much-needed additional properties of these critical points. Sign-changing critical point theory has emerged as a new area of rich research on critical points of a differentiable functional with important applications to nonlinear elliptic PDEs." "This book is intended for advanced graduate students and researchers involved in sign-changing critical point theory, PDEs, global analysis, and nonlinear functional analysis."--Jacket
On a semilinear Dirichlet problem and a nonlinear Schrödinger equation with periodic potential by Michel Willem( Book )

2 editions published in 2000 in English and held by 2 WorldCat member libraries worldwide

Multibump solutions and critical groups by Gianni Arioli( Book )

1 edition published in 2007 in English and held by 1 WorldCat member library worldwide

Infinite dimensional cohomology groups and periodic solutions of asymptotically linear Hamiltonian systems by Andrzej Szulkin( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Solutions of nonlinear schrodinger systems by Zhijie Chen( Book )

1 edition published in 2015 in English and held by 1 WorldCat member library worldwide

The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrℓʹdinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground state solutions, including the existence, the nonexistence, the uniqueness and the phase separation phenomena of the limit profile has been presented, which seems to be the first contribution for BEC in the critical case. Furthermore, some quite different phenomena were also studied in a more general critical system. For the classical Brezis-Nirenberg critical exponent problem, the sharp energy estimate of least energy solutions in a ball has been investigated in this study. Finally, for Ambrosetti type linearly coupled Schrℓʹdinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs
Homoclinic orbits for asymptotically linear Hamiltonian systems by Andrzej Szulkin( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Audience Level
Audience Level
  Kids General Special  
Audience level: 0.49 (from 0.35 for Sign-chang ... to 0.97 for Infinite d ...)

Critical point theory and its applications
English (40)

Sign-changing critical point theory