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∗Received by the editors June 16, 2008; accepted for publication June 23, 2008; published electronically October 17, 2008. http://www.siam.org/journals/mms/7-2/72753.html †Department of Chemistry, New York University, New York, NY 10003 ([email protected]). ‡Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena, CA 91125 ([email protected], [email protected]). §...

Current-carrying and superconducting systems can be treated within density-functional theory if suitable additional density variables ~the current density and the superconducting order parameter, respectively! are included in the density-functional formalism. Here we show that the corresponding conjugate potentials ~vector and pair potentials, respectively! are not uniquely determined by the de...

In the field of Geometric Function Theory, one can not deny the importance of analytic and univalent functions. The characteristics of these functions including their taylor series expansion, their coefficients in these representations as well as their associated functional inequalities have always attracted the researchers. In particular, Fekete-Szegö inequality is one of such vastly studied a...