Topological degree with applications Giovanni Vidossich

Format:

Book

Author/Creator:

Vidossich, Giovanni, author.

Series:

SISSA Springer series ; v. 6.

SISSA Springer series 2524-8588 volume 6

Language:

English

Subjects (All):

Topological degree.

Physical Description:

1 online resource

Place of Publication:

Cham, Switzerland Springer [2026]

Summary:

"This book is unique in the current scenario because it provides a complete treatment of modern Brouwer and of Leray-Schauder degree theories, including detailed proofs and selected applications to differential equations. In addition, new results and open problems appear throughout. It aims to introduce Ph.D. students to research on nonlinear boundary value problems for ordinary, elliptic, and evolution equations using the topological methods of nonlinear functional analysis. It is suitable for self-study, as all proofs are detailed, with prerequisites provided when necessary. It is based on personal notes compiled over more than forty years of teaching. GV studied Mathematics in Pisa during the 1960s with G.Stampacchia as supervisor. He has been professor at the Universities of Brasilia and Trieste, ending his career at SISSA (the research institute he co-founded together with P.Budinich, L.Fonda and L.Stasi). He has held visiting positions in Brazil, Peru, Somalia, South Africa and USA. After an initial activity in General Topology, his main research topic has become BVPs of ODEs in connection with the topological methods of Nonlinear Functional Analysis"-- Springer Nature Link

Contents:

The theory

Applications to the topology of ℝⁿ

Applications to fixed point theory (standard theorems)

Applications to ODEs (using operators in ℝⁿ)

The theory

Applications to fixed point theory (sophisticated theorems)

Applications to elliptic PDEs

Applications to parabolic evolution equations

Applications to ODEs (using operators in function space)

A few unexpected applications

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (Springer Nature Link, viewed May 29, 2026)

Other Format:

Print version Vidossich, Giovanni Topological degree with applications

ISBN:

9783031929984

3031929985

OCLC:

1592830375

Publisher Number:

CIPO000297298

Access Restriction:

Restricted for use by site license