Calculus of Variations and Geometric Measure Theory
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F. Farroni - L. Greco - G. Moscariello - G. Zecca

Noncoercive quasilinear elliptic operators with singular lower order terms

created by farroni on 29 Jun 2020



Inserted: 29 jun 2020

Year: 2020

ArXiv: 2006.14885 PDF


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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