This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving …
This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations. After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving …
We develop and additive, integer-valued degree theory for the class of quasilinear Fredholm mappings. This class is sufficiently large so that within its framework one can study fully nonlinear elliptic boundary value problems. In contrast to the Leary-Schauder degree, which is …
