TY - BOOK AU - Radulescu,Vicentiu D. AU - Repovs,Dusan TI - Partial differential equations with variable exponents: variational methods and qualitative analysis T2 - Monographs and research notes in mathematics SN - 9781498703413 (hardback : acidfree paper) U1 - 515.353 23 PY - 2015/// CY - Boca Raton : PB - CRC Press, KW - Partial differential equations N1 - 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; N2 - 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 ER -