We employ some known critical point theorems to establish results on the existence of weak solutions for a nonlinear sixth-order ordinary differential equation. One of the results ensures the existence of at least two weak solutions, while another one proves the existence of at least three.
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Department of Mathematics, Texas AandM University-Kingsville, 700 University Blvd., KingsvilleDepartment of Mathematics, Texas AandM University-Kingsville, 700 University Blvd., Kingsville
Agarwal R.P.
Kovacs B.
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Department of Analysis, University of MiskolcDepartment of Mathematics, Texas AandM University-Kingsville, 700 University Blvd., Kingsville
Kovacs B.
O'Regan D.
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School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, GalwayDepartment of Mathematics, Texas AandM University-Kingsville, 700 University Blvd., Kingsville