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February 22, 2026Zeitschrift für angewandte Mathematik und Physik0 citationsOpen Access

Fractional critical systems with mixed boundary conditions

RKRohit KumarAOAlejandro López Ortega

Key Points

  • The aim is to analyze the existence of solutions for a fractional elliptic system involving critical nonlinearities.
  • Utilized variational methods to explore solution existence.
  • Applied an orthogonalization-like process in the Sobolev space.
  • Considered mixed Dirichlet-Neumann boundary conditions.
  • Established existence of at least one weak solution.
  • Demonstrated the role of critical nonlinearities in solution behavior.
  • Confirmed the effectiveness of variational methods in this context.

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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Cite This Study

Kumar et al. (2026) studied this question.

synapsesocial.com/papers/699a9d65482488d673cd3317https://doi.org/10.1007/s00033-025-02642-3
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