Contributions to Nonlinear Analysis: A Tribute to D.G. de Figueiredo on the Occasion of his 70th Birthday (Progress in Nonlinear Differential Equations ... Equations and Their Applications)

While mathematics students generally meet the Riemann integral early in their undergraduate studies, those whose interests lie more in the direction of applied mathematics will probably find themselves needing to use the Lebesgue or Lebesgue-Stieltjes Integral before they have acquired the necessary theoretical background. This book is aimed at exactly this group of readers. The authors introduce the Lebesgue-Stieltjes integral on the real line as a natural extension of the Riemann integral, making the treatment as practical as possible. They discuss the evaluation of Lebesgue-Stieltjes integrals in detail, as well as the standard convergence theorems, and conclude with a brief discussion of multivariate integrals and surveys of L spaces plus some applications. The whole is rounded off with exercises that extend and illustrate the theory, as well as providing practice in the techniques Represents a survey of research in the fields of nonlinear analysis and nonlinear differential equations. This volume is dedicated to Djairo G de Figueiredo on the occasion of his 70th birthday. It includes contributions that document the importance and influence of the mathematical research of Djairo de Figueiredo. Preface.- 34 contributions by leading scientists in the field of nonlinear partial differential equations

this Volume Represents A Broad Survey Of Current Research In The Fields Of Nonlinear Analysis And Nonlinear Differential Equations. It Is Dedicated To Djairo G. De Figueiredo On The Occasion Of His 70th Birthday. The Collection Of 34 Research And Survey Articles Reflects The Wide Range Of Interests Of Djairo De Figueiredo, Including:
- Various Types Of Nonlinear Partial Differential Equations And Systems, In Particular Equations Of Elliptic, Parabolic, Hyperbolic And Mixed Type;
- Equations Of Schrödinger, Maxwell, Navier-stokes, Bernoulli-euler, Seiberg-witten, Caffarelli-kohn-nirenberg;
- Existence, Uniqueness And Multiplicity Of Solutions;
- Critical Sobolev Growth And Connected Phenomena;
- Qualitative Properties, Regularity And Shape Of Solutions;
- Inequalities, A-priori Estimates And Asymptotic Behavior;
- Various Applications To Models Such As Asymptotic Membranes, Nonlinear Plates And Inhomogeneous Fluids.
the Contributions Of So Many Distinguished Mathematicians To This Volume Document The Importance And Lasting Influence Of The Mathematical Research Of Djairo De Figueiredo. The Book Thus Is A Source Of New Ideas And Results And Should Appeal To Graduate Students And Mathematicians Interested In Nonlinear Problems.