Analysis demonstrates existence of solutions in fractional elliptic systems with mixed boundary conditions, suggesting new insights for mathematical modeling.
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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Kumar et al. (2026) studied this question.
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