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arXiv · 2006.14885

Noncoercive quasilinear elliptic operators with singular lower order terms

Fernando Farroni·Luigi Greco·Gioconda Moscariello·Gabriella Zecca
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Abstract

We consider a family of quasilinear second order elliptic differential operators which are not coercive and are defined by functions in Marcinkiewicz spaces. We prove the existence of a solution to the corresponding Dirichlet problem. The associated obstacle problem is also solved. Finally, we show higher integrability of a solution to the Dirichlet problem when the datum is more regular.

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Fernando Farroni, Luigi Greco, Gioconda Moscariello, Gabriella Zecca. 2020-06-26. Noncoercive quasilinear elliptic operators with singular lower order terms. https://arxiv.org/abs/2006.14885

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