Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces

Giuseppina Barletta; Elisabetta Tornatore

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arXiv · 2207.10426

Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces

Giuseppina Barletta·Elisabetta Tornatore

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Abstract

We establish some existence and regularity results to the Dirichlet problem, for a class of quasilinear elliptic equations involving a partial differential operator, depending on the gradient of the solution. Our results are formulated in the Orlicz Sobolev spaces and under general growth conditions on the convection term. The sub and supersolutions method is a key tool in the proof of the existence results.

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Giuseppina Barletta, Elisabetta Tornatore. 2022-07-21. Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces. https://arxiv.org/abs/2207.10426

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