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
Consists of three relatively independent parts--theory, results, and applications. The first part is directed toward advanced math students who wish to get familiar with the foundations of the theory. The second part surveys the existing results on continuous selections of multivalued mappings. It is intended for specialists in the area and for those who have mastered the first part. The third part collects examples of applications of continuous selections that have played a key role in the corresponding areas of mathematics. It is written for researchers in general and geometric topology, functional and convex analysis, approximation theory and fixed-point theory, differential inclusions, and mathematical economics. Annotation copyrighted by Book News, Inc., Portland, OR
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