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EXISTENCE OF THREE SOLUTIONS FOR A MIXED BOUNDARY VALUE PROBLEM WITH THE STURM-LIOUVILLE EQUATION
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초록
The aim of this paper is to establish the existence of three solutions for a Sturm-Liouville mixed boundary value problem. The approach is based on multiple critical points theorems.
Abstract
The aim of this paper is to establish the existence of three solutions for a Sturm-Liouville mixed boundary value problem. The approach is based on multiple critical points theorems.
참고문헌 (6)
- D. Averna, "Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian", J. Math. Anal. Appl, 298(1), pp.245~260 (2004)
- G. Bonanno, "Non-differentiable functionals and applications to elliptic problems with discontinuous nonlinearities", J. Differential Equations, 244(12), pp.3031~3059 (2008)
- G. Bonanno, "On the structure of the critical set of non-differentiable functions with a weak compactness condition", Appl. Anal, 85(1), pp.1~10 (2010)
- H. Br´ezis, "Analyse fonctionelle - th´eorie et applications" (1983), Masson
- R. Salvati, "Multiple Solution for a mixed boundary value problem", Math. Sci. Res. J, 7(7), pp.275~283 (2003)
- E. Zeidler, "Nonlinear functional analysis and its applications, vol III" (1990), Springer
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