Nonlinear Problems with Lack of Compactness / / Giovanni Molica Bisci, Patrizia Pucci.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Molica Bisci, Giovanni,; Pucci, Patrizia,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Series: De Gruyter Series in Nonlinear Analysis and Applications , 36
• Physical Description: 1 online resource (XXIV, 266 p.)

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.

Table of Contents

Frontmatter -- Preface -- Contents -- Introduction -- Part I: Elliptic equations in ℝ N with nonstandard growth -- 1 Critical quasilinear equations of Marcellini’s type -- 2 On (p, N) Laplacian equations in ℝN with exponential nonlinearities -- 3 Critical Hardy–Kirchhoff 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 Poincaré ball model -- A Appendix – the symmetric criticality principle -- List of symbols -- Bibliography -- Index