Optimal result involving the Green's function

Zakaria Boucheche

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arXiv · 2501.15241

Optimal result involving the Green's function

Zakaria Boucheche

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Abstract

We investigate a borderline between existence and non-existence of positive solution for a nonlinear elliptic equation involving a critical Sobolev exponent in three-dimensional ball. The method is relied on a suitable choice of the functions used to test two natural ingredients for the associated variational problem.

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Zakaria Boucheche. 2025-01-25. Optimal result involving the Green's function. https://arxiv.org/abs/2501.15241

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