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arXiv · 2105.09988

The moving plane method for doubly singular elliptic equations involving a first order term

Francesco Esposito·Berardino Sciunzi
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Abstract

In this paper we deal with positive singular solutions to semilinear elliptic problems involving a first order term and a singular nonlinearity. Exploiting a fine adaptation of the well-known moving plane method of Alexandrov-Serrin and a careful choice of the cutoff functions, we deduce symmetry and monotonicity properties of the solutions.

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Francesco Esposito, Berardino Sciunzi. 2021-05-20. The moving plane method for doubly singular elliptic equations involving a first order term. https://arxiv.org/abs/2105.09988

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