From the reviews: "This is a unique treatise on the application of advanced nonlinear operator theory. ... The importance of mathematics in biosciences is very well supported by a great number of detailed examples in the text. The book can used for advanced graduate courses as well as a reference for advanced researchers in applied sciences. The authors have accomplished a wonderful mathematical journey." (Dhruba Adhikari, MAA Reviews, January, 2013) "The purpose of this book is to introduce fundamental techniques that are used for modeling and mathematical analysis of problems arising in chemistry, biology or genetics. ... The book concludes with the extensive bibliography (217 references) and a detailed index. It will be useful for researchers, graduate students and specialists working with partial differential equations and their applications in chemistry and biomathematics." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1227, 2012)

• ​Viorel Barbu: Foreword.- 1.Overview of merhods in PDEs.- 2.Liouville Type Theorems for Elliptic Operators in Divergence Form.- 3.Blow-up Boundary Solutions.- 4.Singular Lane-Emden-Fowler Equations and Systems.- 5.Singular Elliptic Inequalities in Exterior Domains.- 6.Two Quasilinear Elliptic Problems.- 7.Some Classes of Polyharmonic Problems.- 8.Large Time Behavior of Solutions for Degenerate Parabolic Equations.- 9.Rection-Diffusion Systems in Chemistry.- 10.Pattern Formation and Gierer-Meinhardt Model.- Appendices.- References.- Index.

From the reviews: "This is a unique treatise on the application of advanced nonlinear operator theory. ... The importance of mathematics in biosciences is very well supported by a great number of detailed examples in the text. The book can used for advanced graduate courses as well as a reference for advanced researchers in applied sciences. The authors have accomplished a wonderful mathematical journey." (Dhruba Adhikari, MAA Reviews, January, 2013) "The purpose of this book is to introduce fundamental techniques that are used for modeling and mathematical analysis of problems arising in chemistry, biology or genetics. ... The book concludes with the extensive bibliography (217 references) and a detailed index. It will be useful for researchers, graduate students and specialists working with partial differential equations and their applications in chemistry and biomathematics." (Yuri V. Rogovchenko, Zentralblatt MATH, Vol. 1227, 2012)

• ​Viorel Barbu: Foreword.- 1.Overview of merhods in PDEs.- 2.Liouville Type Theorems for Elliptic Operators in Divergence Form.- 3.Blow-up Boundary Solutions.- 4.Singular Lane-Emden-Fowler Equations and Systems.- 5.Singular Elliptic Inequalities in Exterior Domains.- 6.Two Quasilinear Elliptic Problems.- 7.Some Classes of Polyharmonic Problems.- 8.Large Time Behavior of Solutions for Degenerate Parabolic Equations.- 9.Rection-Diffusion Systems in Chemistry.- 10.Pattern Formation and Gierer-Meinhardt Model.- Appendices.- References.- Index.