Partial differential equations with variable exponents : variational methods and qualitative analysis / Vicentiu D. Radulescu and Dusan D. Repovs.

Includes bibliographical references and index.

I. Isotropic and Anisotropic Function Spaces;
Chapter 1 Lebesgue and Sobolev Spaces with Variable Exponents;
II. Variational Analysis ofProblems with Variable Exponents; Chapter 2 Nonlinear Degenerate Problems in Non-Newtonian Fluids;
Chapter 3 Spectral Theory for Differential Operators with Variable Exponents;
Chapter 4 Nonlinear Problems in Orlicz-Sobolev Spaces;
III. Anisotropic Problems: Continuous and Discrete;
Chapter 5 Anisotropic Problems.
Chapter 6 Difference Equations with Variable Exponents;
Appendix A. Ekeland Variational Principle;
Appendix B. Mountain Pass Theorem;

Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis provides researchers and graduate students with a thorough introduction to the theory of nonlinear partial differential equations (PDEs) with a variable exponent, particularly those of elliptic type. The book 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 meth.