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arxiv: 1009.2874 · v1 · pith:OWR4WVDBnew · submitted 2010-09-15 · 🧮 math.AP

Increasing variational solutions for a nonlinear p-laplace equation without growth conditions

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keywords laplacenonlinearsolutionsvariationalclassconditionconditionsequation
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By means of a recent variational technique, we prove the existence of radially monotone solutions to a class of nonlinear problems involving the $p$-Laplace operator. No subcriticality condition (in the sense of Sobolev spaces) is required.

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