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 via linear and nonlinear potentials. Here we give a brief account of such developments and outline the connections with different fields.
Developments and perspectives in Nonlinear Potential Theory / Mingione, Giuseppe; Palatucci, Giampiero. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - 194:111452(2020). [10.1016/j.na.2019.02.006]
Developments and perspectives in Nonlinear Potential Theory
Mingione Giuseppe;Palatucci Giampiero
2020-01-01
Abstract
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 via linear and nonlinear potentials. Here we give a brief account of such developments and outline the connections with different fields.| File | Dimensione | Formato | |
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