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.
|Number of pages||16|
|Journal||NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS|
|Publication status||Published - 2015|
All Science Journal Classification (ASJC) codes
- Applied Mathematics