Chapter 1　Preliminaries

1.1 Sobolev Spaces

1.2　Differential Functionals

1.3　The(PS)Conditions

1.4 Weak Solutions

1.5 Concentration-Compactness Principle

Chapter 2　Superlinear Variational Problems

2.1 Generalized Kadomtsev-Petviashvili Equations

2.2 Quasilinear Elliptic Equations with Nonlinear Boundary Conditions

2.3 A Superlinear Boundary Value Problem

2.4 Elliptic Systems with Nonlinear Boundary Conditions

Chapter 3 Singular Brezis-Nirenberg Problems

3.1 Multiple Solutions of Brezis-Nirenberg Problems

3.2 Quasilinear Brezis-Nirenberg Type Problems

Chapter 4 On Kirehhoff-Type Problems

4.1 Kirchhoff-Type Equations with Parameters

4.2 Multiple Solutions of Kirchhoff-Type Problems

Chapter 5 Noncompact Variational Problems

5.1 Critical Elliptic Equations in RN

5.2 Sublinear Critical Elliptic Problems

5.3 Critical Semilinear Elliptic Equations

Bibliography