Beschreibung:
This handbook is volume III in a series devoted to stationary partial differential quations. Similarly as volumes I and II, it is a collection of self contained state-of-the-art surveys written by well known experts in the field. The topics covered by this handbook include singular and higher order equations, problems near critically, problems with anisotropic nonlinearities, dam problem, T-convergence and Schauder-type estimates. These surveys will be useful for both beginners and experts and speed up the progress of corresponding (rapidly developing and fascinating) areas of mathematics.
Preface Contributors 1. S. Antontsev and S. Shmarev: Elliptic equations with anisotropic nonlinearity and nonstandard growth conditions. 2. A. Braides: A Handbook of T-convergence. 3. M. del Pino and M. Musso: Bubbling in nonlinear elliptic problems near criticality. 4. J. Hernández and F.J. Mancebo: Singular elliptic and parabolic equations. 5. S. Kichenassamy: Schauder-type estimates and applications. 6. A. Lyaghfouri: The Dam problem.7. L.A. Peletier: Nonlinear eigenvalue problems for higher order model equations. Index