M. R. Heidari Tavani, A. Nazari, P. Lo'lo'

Variational Approach for a Fourth-Order Equation on a Nonlinear Elastic Foundation

In this paper, we investigate the existence of positive weak solutions for a fourth-order differential equation with perturbed nonlinear term. This equation depends on two real parameters. The approach is based on variational methods and critical point theory.

Mathematics Subject Classification: 34B15, 34B40

Key words and phrases: Positive solutions, fourth-order equation, critical point theory, variational methods