In this contribution we consider nonlinear equations with Euclidean or Minkowskii mean curvature operator and show how these equations has a proximity property with respect to hal-linear equations, extending some results known for linear equations. In particular, sufficient conditions for oscillation and for the existence of positive decreasing solutions are presented.
Asymptotic Proximity Between Equations with Mean Curvature Operator and Linear Equation / Serena Matucci. - ELETTRONICO. - 2:(2023), pp. 30-34. (Intervento presentato al convegno International Workshop on the Qualitative Theory of Differential Equations "QUALITDE – 2023" tenutosi a Tbilisi, Georgia nel 9 - 11 Dicembre 2023).
Asymptotic Proximity Between Equations with Mean Curvature Operator and Linear Equation
Serena Matucci
2023
Abstract
In this contribution we consider nonlinear equations with Euclidean or Minkowskii mean curvature operator and show how these equations has a proximity property with respect to hal-linear equations, extending some results known for linear equations. In particular, sufficient conditions for oscillation and for the existence of positive decreasing solutions are presented.
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