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Unilateral problems for quasilinear operators with fractional Riesz gradients

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Analysis of monotone operators reveals solutions in convex-constrained Dirichlet-type problems involving Riesz gradients.

Solutions exist uniquely within quasi-linear structures, enhancing approaches in convex-constrained problems.
New results demonstrate continuous dependence of solutions on the fractional parameter s in Riesz gradients' contexts.
This analysis employs Dirichlet-type frameworks for studying variational solutions involving fractional Sobolev spaces.
Implications on unilateral problems underscore the necessity of understanding Riesz gradient dynamics in mathematical applications.

Campos et al. (2025) studied this question.

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