Developments and perspectives in Nonlinear Potential Theory

• Published in: Nonlinear analysis Vol. 194; p. 111452
• Main Authors: Mingione, Giuseppe, Palatucci, Giampiero
• Format: Journal Article
• Language: English
• Published: Elmsford Elsevier Ltd 01.05.2020; Elsevier BV
• Subjects: Calderón–Zygmund theory; Elliptic equations; Mathematical analysis; Nonlinear equations; Nonlinear Potential Theory; Potential theory; Regularity; Replicating; secondary 31C45; primary 35J60; Regularity; Calderón–Zygmund theory; Elliptic equations; Nonlinear Potential Theory

Nonlinear Potential theory aims at replicating the classical linear potential theory when nonlinear equations are considered. In recent years there has been a substantial development of this subject, mostly linked to the possibility of proving pointwise estimates for solutions to nonlinear equations...