Existence results for parametric boundary value problems involving the mean curvature operator

Bonanno, Gabriele;Livrea, Roberto;Mawhin, Jean
(2014) No D E A - Nonlinear Differential Equations and Applications — Vol. 22, n° 3, p. 411-426 (2014)

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Authors
  • Bonanno, Gabriele
    Author
  • Livrea, Roberto
    Author
  • Mawhin, JeanUCLouvain
    Author
Abstract
In this note we propose a variational approach to a parametric differential problem where a prescribed mean curvature equation is considered. In particular, without asymptotic assumptions at zero and at infinity on the potential, we obtain an explicit positive interval of parameters for which the problem under examination has at least one nontrivial and nonnegative solution.
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Bonanno, G., Livrea, R., & Mawhin, J. (2014). Existence results for parametric boundary value problems involving the mean curvature operator. No D E A - Nonlinear Differential Equations and Applications, 22(3), 411-426. https://doi.org/10.1007/s00030-014-0289-7 (Original work published 2014)