Infinitely Many Solutions for a Boundary Value Problem with Discontinuous Nonlinearities

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作者
Gabriele Bonanno
Giovanni Molica Bisci
机构
[1] University of Messina,Mathematics Section, Department of Science for Engineering and Architecture, Engineering Faculty
[2] University of Reggio,PAU Department, Architecture Faculty
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关键词
Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Nonlinear Term;
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摘要
The existence of infinitely many solutions for a Sturm-Liouville boundary value problem, under an appropriate oscillating behavior of the possibly discontinuous nonlinear term, is obtained. Several special cases and consequences are pointed out and some examples are presented. The technical approach is mainly based on a result of infinitely many critical points for locally Lipschitz functions.
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