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arxiv: 0705.3674 · v1 · submitted 2007-05-24 · 🧮 math.AP

Existence of Infinitely Many Solutions for a Quasilinear Elliptic Problem on Time Scales

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keywords ellipticexistenceproblemquasilinearsolutionstimeboundary-valueconditions
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We study a boundary-value quasilinear elliptic problem on a generic time scale. Making use of the fixed-point index theory, sufficient conditions are given to obtain existence, multiplicity, and infinite solvability of positive solutions.

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