Fractional critical systems with mixed boundary conditions
Analysis of PDEs
2025-11-26 v2
Abstract
In this paper, we analyze the existence of solution for a fractional elliptic system coupled by critical nonlinearities and endowed with mixed Dirichlet-Neumann boundary conditions. By means of variational methods and an orthogonalization-like process in the corresponding Sobolev space, we establish the existence of at least one weak solution.
Cite
@article{arxiv.2510.04975,
title = {Fractional critical systems with mixed boundary conditions},
author = {R. Kumar and A. Ortega},
journal= {arXiv preprint arXiv:2510.04975},
year = {2025}
}