October 3, 2025Open Access

On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent

Puntos clave

Existence of solutions is established for nonlinear elliptic problems involving critical growth.
The study highlights the role of variational methods in addressing combined convolution-type and Hardy nonlinearity.
The application of critical exponent theories, including Hardy-Littlewood-Sobolev, is essential in this analysis.
This research may enable advancements in understanding complex mathematical behaviors in elliptic equations.

Resumen

In this paper we use variational methods to establish the existence of solutions for a class of nonlinear elliptic problems involving a combined convolution-type and Hardy nonlinearity with subcritical and critical growth.

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Cite This Study

Gu et al. (Fri,) studied this question.

synapsesocial.com/papers/68e040e5a99c246f578b2e90 https://doi.org/https://doi.org/10.48550/arxiv.2509.15806

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