Fractional critical systems with mixed boundary conditions

R. Kumar; A. Ortega

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arXiv · 2510.04975

Fractional critical systems with mixed boundary conditions

R. Kumar·A. Ortega

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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.

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R. Kumar, A. Ortega. 2025-10-06. Fractional critical systems with mixed boundary conditions. https://arxiv.org/abs/2510.04975

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