Multiple solutions of boundary value problems with ϕ-Laplacian operators and under a Wintner-Nagumo growth condition
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Abstract
Abstract In this paper, we establish the existence of multiple solutions to second-order differential equations with ϕ -Laplacian satisfying periodic, Dirichlet or Neumann boundary conditions. The right-hand side is a Carathéodory function satisfying a growth condition of Wintner-Nagumo type. The existence of upper and lower solutions is assumed. The proofs rely on the fixed point index theory. MSC: 34B15, 34C25, 47H10, 37C25, 47H11.
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