Semilinear elliptic equations are of fundamental importance for the study of geometry, physics, mechanics, engineering and life sciences. The variational approa

This authoritative monograph presents in detail classical and modern methods for the study of semilinear elliptic equations, that is, methods to study the quali

A graduate text explaining how methods of nonlinear analysis can be used to tackle nonlinear differential equations. Suitable for mathematicians, physicists and

Hilbert's talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which,

The text is intended for students who wish a concise and rapid introduction to some main topics in PDEs, necessary for understanding current research, especiall