Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis

ISBN-13: 9781498703413 / Angielski / Twarda / 2015 / 323 str.

Vicentiu D. Radulescu; Dusan Repovs

Opis

This book provides a thorough introduction to the theory of nonlinear PDEs with a variable exponent, particularly those of elliptic type. It presents the most important variational methods for elliptic PDEs described by nonhomogeneous differential operators and containing one or more power-type nonlinearities with a variable exponent. The authors give a systematic treatment of the basic mathematical theory and constructive methods for these classes of nonlinear elliptic equations as well as their applications to various processes arising in the applied sciences.

Spis treści

Isotropic and Anisotropic Function Spaces: Lebesgue and Sobolev Spaces with Variable Exponent. Variational Analysis of Problems with Variable Exponents: Nonlinear Degenerate Problems in Non-Newtonian Fluids. Spectral Theory for Differential Operators with Variable Exponent. Nonlinear Problems in Orlicz–Sobolev Spaces. Anisotropic Problems: Continuous and Discrete: Anisotropic Problems. Difference Equations with Variable Exponent. Appendices. Bibliography. Index.