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.
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