Quasilinear elliptic problems with general growth and merely integrable, or measure, data

Andrea Cianchi; Vladimir Maz'ya

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arXiv · 1708.07432

Quasilinear elliptic problems with general growth and merely integrable, or measure, data

Andrea Cianchi·Vladimir Maz'ya

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Abstract

Boundary value problems for a class of quasilinear elliptic equations, with an Orlicz type growth and L^1 right-hand side are considered. Both Dirichlet and Neumann problems are contemplated. Existence and uniqueness of generalized solutions, as well as their regularity, are established. The case of measure right-hand sides is also analyzed.

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Andrea Cianchi, Vladimir Maz'ya. 2017-08-24. Quasilinear elliptic problems with general growth and merely integrable, or measure, data. https://arxiv.org/abs/1708.07432

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