1 Table of Contents: “...Introduction: What Are Partial Differential Equations? -- The Laplace Equation as the Prototype...”

2 Table of Contents: “... and Elliptic Partial Differential Equations -- 21. Hilbert Spaces. Weak Convergence -- 22. Variational...”

3 Table of Contents: “... Theory -- 8. Harmonic Maps -- Appendix A: Linear Elliptic Partial Differential Equation -- A.1 Sobolev...”

4 Table of Contents: “... Elliptic Partial Differential Equations -- A.1 Sobolev Spaces -- A.2 Existence and Regularity Theory...”

5 Table of Contents: “... from Quantum Field Theory -- Appendix A: Linear Elliptic Partial Differential Equation -- A.1 Sobolev...”

6 Table of Contents: “.... Hilbert Spaces. Weak Convergence -- 22. Variational Principles and Partial Differential Equations -- 23...”

7 “... geometry" already indicates a combination of techniques from nonlinear partial differential equations...”