1 Table of Contents: “...Preface -- Introduction: What are Partial Differential Equations? -- 1 The Laplace equation...”

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

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

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

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

6 Table of Contents: “... Differential Equations -- B Fundamental Groups and Covering Spaces -- Bibliography -- Index...”

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

8 Table of Contents: “... -- A. Linear Elliptic Partial Differential Equations -- A.1 Sobolev Spaces -- A.2 Linear Elliptic...”

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

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

11 “... differential equations • optimization and the calculus of variations.   The biological applications range from...”

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