1st Edition

Kirchhoff Equations A Variational Approach

By Vicenţiu D. Rădulescu Copyright 2027
328 Pages
by Chapman & Hall

Kirchhoff Equations: A Variational Approach is primarily focussed on recent results concerning existence, multiplicity and the asymptotic behaviour of solutions to some stationary Kirchhoff problems, involving fractional integro-differential elliptic operators, and presenting difficulties relating to an intrinsic lack of compactness, which are elucidated upon within the text. These operators... Read more

Chapter 1: Critical Kirchhoff Problems with Logarithmic Reaction.

Chapter 2: Planar Kirchhoff Equations with Critical Exponential Growth.

Chapter 3: Non-autonomous Kirchhoff Problems.

Chapter 4: Autonomous Kirchhoff Equations with Sobolev Critical Exponent.

Chapter 5: Kirchhoff Equations with Double-Behaviour Reaction.

Chapter 6: Fractional p-Kirchhoff Equations.

Chapter 7: Magnetic Kirchhoff Equations with Critical Growth.

Chapter 8: Fractional Kirchhoff Equations with Discontinuous Reaction.

Chapter 9: Mass Critical Fractional Kirchhoff Equations.

Appendix A: Fractional Sobolev Spaces.

Appendix B: Basic Inequalities and Theorems.

Bibliography.     

Index.

Biography

Vicenţiu D. Rǎdulescu was a Distinguished Visiting Scientist at the University of Ljubljana (2008), Distinguished Adjunct Professor at the King Abdulaziz University in Jeddah (2014-2021), and Highly Cited Researcher (2014, 2019–2021). He is a member of the Accademia Peloritana dei Pericolanti (since 2014), Accademia delle Scienze dell’Umbria (since 2017), Senior Research Fellow of the City University of Hong Kong (2015), and Senior Research Fellow of the Central South University (2024 and 2025). He has editorial positions at the De Gruyter Series in Nonlinear Analysis and Applications, Journal of Geometric Analysis, Mathematical Methods in the Applied Sciences, Asymptotic Analysis, Complex Variables and Elliptic Equations, and Rendiconti del Circolo Matematico di Palermo. Vicenţiu D. Rǎdulescu is also Editor-in-Chief of Bulletin of Mathematical Sciences, Opuscula Mathematica, and Boundary Value Problems.