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arXiv · 2604.08733

Existence and uniqueness of weak solutions to singular anisotropic elliptic problems

Francesco Esposito·Francescantonio Oliva·Eugenio Vecchi
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Abstract

In this paper we consider a quasilinear singular anisotropic elliptic problem with a p-sublinear perturbation. We prove uniqueness of weak solutions and we provide necessary and sufficient conditions for the existence of weak solutions in the same spirit of the celebrated paper by Lazer and McKenna.

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Francesco Esposito, Francescantonio Oliva, Eugenio Vecchi. 2026-04-09. Existence and uniqueness of weak solutions to singular anisotropic elliptic problems. https://arxiv.org/abs/2604.08733

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