Semilinear Elliptic Equations for Beginners

From the reviews: "An excellent text suitable for a graduate student or a very well-prepared undergraduate. It can easily support either a regular class or an independent study format. ... The authors have done a good job of avoiding esoteric technicalities, so ... that a good student could learn the notions above while studying this text. The first chapter outlines much of this material and provides references for those who need further study. ... the text is on variational methods applied to semilinear elliptic boundary value problems." (Stephen B. Robinson, Mathematical Reviews, Issue 2012 f) "This book is a valuable reference book for specialists in the field and an excellent graduate text giving an overview of the literature on solutions of semilinear elliptic equations. ... the book should be strongly recommended to anyone, either graduate student or researcher, who is interested in variational methods and their applications to partial differential equations of elliptic type ." (Vicentiu D. Radulescu, Zentralblatt MATH, Vol. 1214, 2011)

• Introduction and basic results.- Minimization techniques: compact problems.- Minimization techniques: lack of compactness.- Introduction to minimax methods.- Index of the main assumptions