Fractional critical systems with mixed boundary conditions

R. Kumar, A. Ortega

公開日: 2025/10/6

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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