Chapter 4: Nonlinear Field Problems

The following sections are included:

• Introduction

• Schrödinger–Maxwell Equations

  • Infinitely Many Solutions with Superlinear Nonlinearities

  • Multiple Solutions with Asymptotically Linear Nonlinearities

  • Quasilinear Schrödinger–Maxwell Equations

• Klein–Gordon–Maxwell Systems

  • Infinitely Many Solutions

  • Sign-Changing Potential

  • Multiple Solutions without Odd Nonlinearities

  • Partially Sublinear Nonlinearities

  • Klein–Gordon Equation Coupled with Born–Infeld Theory