We give an existence result for a periodic boundary value problem involving mean curvature-like operators in the scalar case. Following [R. Manásevich, J. Mawhin, Periodic solutions for nonlinear systems with -Laplacian-like operators, J. Differential Equations 145 (1998), 367–393], we use an approach based on the Leray–Schauder degree.
Periodic Solutions for Nonlinear Equations with Mean Curvature-like Operators / P. Benevieri; J.M. Do O'; E.S. Medeiros. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 20, 5:(2007), pp. 484-492. [10.1016/j.aml.2006.06.007]
Periodic Solutions for Nonlinear Equations with Mean Curvature-like Operators
BENEVIERI, PIERLUIGI;
2007
Abstract
We give an existence result for a periodic boundary value problem involving mean curvature-like operators in the scalar case. Following [R. Manásevich, J. Mawhin, Periodic solutions for nonlinear systems with -Laplacian-like operators, J. Differential Equations 145 (1998), 367–393], we use an approach based on the Leray–Schauder degree.
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