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Weakly Increasing Solutions of Equations with p -Mean Curvature Operator

Author

Listed:
  • Zuzana Došlá

    (Department of Mathematics and Statistics, Masaryk University, 611 37 Brno, Czech Republic)

  • Mauro Marini

    (Department of Mathematics and Computer Science ‘Ulisse Dini’, University of Florence, 50134 Florence, Italy)

  • Serena Matucci

    (Department of Mathematics and Computer Science ‘Ulisse Dini’, University of Florence, 50134 Florence, Italy)

Abstract

Globally positive unbounded solutions, with zero derivative at infinity, are here considered for ordinary differential equations involving the generalized Euclidean mean curvature operator. When p ≥ 2 , the results highlight an analogy with an auxiliary equation with the p -Laplacian operator. The results are obtained using some comparison criteria for the principal solutions of a class of associated half-linear equations.

Suggested Citation

  • Zuzana Došlá & Mauro Marini & Serena Matucci, 2024. "Weakly Increasing Solutions of Equations with p -Mean Curvature Operator," Mathematics, MDPI, vol. 12(20), pages 1-15, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3240-:d:1500182
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