From the reviews of the second edition: "The monograph is concerned with the study of various classes of nonlinear elliptic and parabolic partial differential equations with many applications. ... The book is very well written, the presentation is clear and rigorous, and it contains a comprehensive bibliography. This monograph will be useful to all persons who are interested in nonlinear partial differential equations or systems and their applications." (Rodica Luca Tudorache, zbMATH, Vol. 1270, 2013)

• Preface.- Preface to the 2nd edition.- Notational conventions.- 1 Preliminary general material.- I Steady-state problems.- 2 Pseudomonotone or weakly continuous mappings.- 3 Accretive mappings.- 4 Potential problems: smooth case.- 5 Nonsmooth problems; variational inequalities.- 6. Systems of equations: particular examples.- II Evolution problems.- 7 Special auxiliary tools.- 8 Evolution by pseudomonotone or weakly continuous mappings.- 9 Evolution governed by accretive mappings.- 10 Evolution governed by certain set-valued mappings.- 11 Doubly-nonlinear problems.- 12 Systems of equations: particular examples.- References.- Index.

From the reviews of the second edition: "The monograph is concerned with the study of various classes of nonlinear elliptic and parabolic partial differential equations with many applications. ... The book is very well written, the presentation is clear and rigorous, and it contains a comprehensive bibliography. This monograph will be useful to all persons who are interested in nonlinear partial differential equations or systems and their applications." (Rodica Luca Tudorache, zbMATH, Vol. 1270, 2013)

• Preface.- Preface to the 2nd edition.- Notational conventions.- 1 Preliminary general material.- I Steady-state problems.- 2 Pseudomonotone or weakly continuous mappings.- 3 Accretive mappings.- 4 Potential problems: smooth case.- 5 Nonsmooth problems; variational inequalities.- 6. Systems of equations: particular examples.- II Evolution problems.- 7 Special auxiliary tools.- 8 Evolution by pseudomonotone or weakly continuous mappings.- 9 Evolution governed by accretive mappings.- 10 Evolution governed by certain set-valued mappings.- 11 Doubly-nonlinear problems.- 12 Systems of equations: particular examples.- References.- Index.