Includes bibliographical references (p. 925-956) and index.
1. Hausdorff measures and capacity -- 2. Lebesgue-Bochner and Sobolev spaces -- 3. Nonlinear operators and Young measures -- 4. Smooth and nonsmooth analysis and variational principles -- 5. Critical point theory -- 6. Eigenvalue problems and maximum principles -- 7. Fixed point theory.