Nonlinear problems with lack of compactness / Giovanni Molica Bisci, Patrizia Pucci.

Format:

Book

Author/Creator:

Molica Bisci, Giovanni, author.

Pucci, Patrizia, author.

Series:

De Gruyter series in nonlinear analysis and applications ; 36.

De Gruyter series in nonlinear analysis and applications, 0941-813X ; volume 36

Language:

English

Subjects (All):

Nonlinear theories.

Physical Description:

1 online resource (xxiii, 263 pages) : illustrations (black and white, and colour).

Place of Publication:

Berlin ; Boston : De Gruyter, [2021]

Summary:

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.

Contents:

Frontmatter

Preface

Contents

Introduction

Part I: Elliptic equations in R N with nonstandard growth

1 Critical quasilinear equations of Marcellinis type

2 On (p, N) Laplacian equations in RN with exponential nonlinearities

3 Critical HardyKirchhoff equations in RN

Part II: Existence of multiple solutions via group-theoretical invariance in the Hilbertian setting

4 Multiple solutions for critical equations in RN

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 Poincare ball model

A Appendix the symmetric criticality principle

List of symbols

Bibliography

Index

Notes:

Includes bibliographical references and index.

Description based on online resource; title from digital title page (viewed on May 19, 2021).

ISBN:

3-11-065201-3

3-11-064893-8

OCLC:

1251804782