We refer the reader to monographs of Giaquinta [3, 4] for an extensive treatment of partial regularity theory for systems of the form (1.1), as well as more general elliptic systems.
Fundamental mathematical issues such as the global regularity of their solutions have generated extensive research and many interesting results have been established (see [3 12]).
Fundamental mathematical issues such as the regularity of weak solutions have generated extensive research and many interesting results have been established (see [1, 7] and [9]).
Conventional amyloid ligands, such as derivatives of Congo Red and Thioflavin T, are rather selective for protein aggregates having an extensive cross β-pleated sheet conformation and sufficient structural regularity, 1 but misfolded proteins do not always fulfill these requirements.
Recently, degenerate cooperative systems have been the subject of extensive study, and most of the works are devoted to the existence, uniqueness, regularity properties and some other interesting properties of the weak solutions (one can see [3 8]).
Over the past few years as a graduate student and a researcher at MIT, I have developed extensive research experience, including analyzing behavioral data from multiple sources to uncover regularities in behaviors and preferences and applying a wide variety of computational and statistical tools to elucidate insights.
Fifteen years ago, we proposed to use an extensive information of DBs not only for information service, but also for searching regularities in data and the application of these regularities for the prediction of new substances.
This regularity of a characteristic spectrum is called further as 3-regular heterogeneity, or 3-regularity.
The Peabody owns an extensive library of music both new and old, and students are encouraged to take advantage of this with regularity.
Knowledge-based approaches, which predict structural models using the regularities and rules of known protein structures seen in the Protein Data Bank (PDB) library, have enjoyed more extensive success in protein structure prediction [ 2- 4].
