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arxiv: 1510.04201 · v2 · pith:OB6O45RAnew · submitted 2015-10-14 · 🧮 math.AP

A Fredholm alternative for quasilinear elliptic equations with right hand side measure

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keywords alternativeellipticfredholmhandmeasurequasilinearrightside
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We consider a quasilinear elliptic equation, with right hand side measure, which does not satisfy the usual coercivity assumption. We prove an existence result in the line of the Fredholm alternative. For this purpose we develop a variant of degree theory suited to this setting.

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