The 8th Congress of the International Society for Analysis, its Applications, and\r\nComputation (ISAAC) was organized by Peoples’ Friendship University of Russia, Division of Mathematics of the Russian Academy of Sciences, V. A. Steklov\r\nInstitute of Mathematics of Russian Academy of Sciences and V. M. Lomonosov\r\nMoscow State University, and took place at Peoples’ Friendship University of Russia, Moscow, through 22-27 August 2011.\r\nThe programme of the Congress included most of the topics of contemporary\r\nmathematical analysis, in particular, real, functional, complex analysis, operator\r\ntheory, theory of ordinary differential equations, theory of partial differential equations, nonlinear analysis, optimization theory, variational analysis, approximation\r\ntheory, applications of analysis (inverse problems, functional and difference equations, mathematics in medicine, stochastic analysis), teaching analysis at universities and schools, history of analysis.\r\nVol. 2 contains papers by the participants of Session III (Partial differential\r\nequations), Session IV (Applied analysis), and of Session V (Nonlinear analysis,\r\nextremal problems, approximation theory, and applications).\r\nThis volume would be of interest for mathematicians working in all main\r\nbranches of contemporary mathematical analysis and its applications.\r\nPrepared by the Organizing Committee of the 8th Congress of the ISAAC.