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arXiv · 2601.17872

The effect of boundary geometry in nonlocal critical problems with Hardy-Littlewood-Sobolev exponent

Hichem Chtioui·Tuhina Mukherjee·Lovelesh Sharma
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Abstract

In this paper we consider a mixed Dirichlet-Neumann boundary value problem. lem involving Choquard nonlinearity with upper critical exponent in the sense of Hardy- Littlewood Sobolev inequality. We investigate the effect of the geometry of the boundary part where the Neumann condition is prescribed on the existence problem of ground state solutions.

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Hichem Chtioui, Tuhina Mukherjee, Lovelesh Sharma. 2026-01-25. The effect of boundary geometry in nonlocal critical problems with Hardy-Littlewood-Sobolev exponent. https://arxiv.org/abs/2601.17872

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