Efnisyfirlit

• Cover page
• Title page
• Copyright page
• Dedication
• Preface
• Some Notations and Conventions
• Contents
• 1. Preliminaries and Variational Principles
• 1.1 Sobolev Spaces
• 1.2 Differentiable Functionals
• 1.3 Ekeland’s Variational Principle
• 1.4 Minimax Principles
• 1.5 Ricceri’s Variational Results
• 1.5.1 Three Critical Point Results
• 1.5.2 A General Variational Principle
• 2. Quasilinear Fourth-Order Problems
• 2.1 Introduction
• 2.2 Multiple Solutions of Quasilinear Fourth-Order Problems
• 2.3 Infinitely Many Solutions of Quasilinear Fourth-Order Problems
• 2.4 Quasilinear Fourth-Order Problems with Singular Term
• 2.5 Semilinear Fourth-Order Problems on RN
• 3. Kirchhoff Problems
• 3.1 Introduction
• 3.2 Radial Solutions of Kirchhoff Problems
• 3.3 Multiple Solutions of Nonhomogeneous Problems
• 3.4 Multiple Solutions with Superlinear Nonlinearities
• 3.5 Multiple Solutions with Asymptotically Linear Nonlinearities
• 3.6 Infinitely Many Solutions with Sublinear Nonlinearities
• 3.7 Multiple Solutions with Combined Nonlinearities
• 4. Nonlinear Field Problems
• 4.1 Introduction
• 4.2 Schrödinger–Maxwell Equations
• 4.2.1 Infinitely Many Solutions with Superlinear Nonlinearities
• 4.2.2 Multiple Solutions with Asymptotically Linear Nonlinearities
• 4.2.3 Quasilinear Schrödinger–Maxwell Equations
• 4.3 Klein–Gordon–Maxwell Systems
• 4.3.1 Infinitely Many Solutions
• 4.3.2 Sign-Changing Potential
• 4.3.3 Multiple Solutions without Odd Nonlinearities
• 4.3.4 Partially Sublinear Nonlinearities
• 4.3.5 Klein–Gordon Equation Coupled with Born–Infeld Theory
• 5. Gradient Systems
• 5.1 Introduction
• 5.2 One Dimension Systems
• 5.2.1 Two-Point Boundary Value Systems
• 5.2.2 Hamiltonian Systems
• 5.2.3 Quasilinear Hamiltonian Systems
• 5.3 N Dimension Systems
• 5.3.1 Resonance Elliptic Systems
• 5.3.2 Quasilinear Fourth-Order Elliptic Systems
• 6. Variable Exponent Problems
• 6.1 Introduction
• 6.2 p(x)-Laplacian Problems
• 6.3 p(x)-Laplacian-Like Problems
• 6.4 p(x)-Biharmonic Problems
• 6.5 Two Parameter p(x)-Biharmonic Problems
• Bibliography
• Index