Nonlinear Problems with Lack of Compactness
1st Edition
Published on 8. February 2021
XXIV, 266 pages
978-3-11-065201-7 (ISBN)
Description
This authoritative book presents recent research results on nonlinear problems with lack of compactness. The topics covered include several nonlinear problems in the Euclidean setting as well as variational problems on manifolds. The combination of deep techniques in nonlinear analysis with applications to a variety of problems make this work an essential source of information for researchers and graduate students working in analysis and PDE's.
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Giovanni Molica Bisci | Patrizia Pucci
Nonlinear Problems with Lack of Compactness
Book
02/2021
1st Edition
De Gruyter
€159.95
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Giovanni Molica Bisci | Patrizia Pucci
Nonlinear Problems with Lack of Compactness
E-Book
02/2021
1st Edition
De Gruyter
€159.95
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Persons
Giovanni Molica Bisci
, University of Urbino Carlo Bo, Italy;
Patrizia Pucci
, University of Perugia, Italy.
Content
- Intro
- Preface
- Contents
- Introduction
- Part I: Elliptic equations in R⊂& N &/sub&with nonstandard growth
- 1 Critical quasilinear equations of Marcellini's type
- 2 On (p, N) Laplacian equations in R⊃&N&/sup& with exponential nonlinearities
- 3 Critical Hardy-Kirchhoff equations in R⊃&N&/sup&
- Part II: Existence of multiple solutions via group-theoretical invariance in the Hilbertian setting
- 4 Multiple solutions for critical equations in R⊃&N&/sup&
- 5 Weak solutions of a scalar field equation
- 6 Elliptic equations on the sphere
- Part III: Variational Principles in Geometric Analysis
- 7 Subelliptic problems on Carnot groups
- 8 Arbitrarily many solutions on homogeneous Hadamard manifolds
- 9 Kirchhoff problems on the Poincaré ball model
- A Appendix - the symmetric criticality principle
- List of symbols
- Bibliography
- Index
