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June 27, 2026Advances in Calculus of VariationsOpen Access

Nonlocal critical problems with mixed boundary conditions and nearly resonant perturbations

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Authors

ECEduardo ColoradoUniversidad Carlos III de MadridGBGiovanni Molica BisciIstituto Nazionale di Fisica Nucleare, Sezione di Roma IAOAlejandro OrtegaUniversidad Nacional de Educación a Distancia

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Overview

Randomized trial investigates a nonlocal critical problem with mixed boundary conditions, suggesting implications for mathematical physics.

Key Points

  • This research aims to analyze a nonlocal critical problem involving mixed Dirichlet-Neumann boundary conditions and its mathematical implications.
  • Consideration of a nonlocal critical problem with mixed boundary conditions
  • Application of the spectral fractional Laplacian operator
  • Detailed mathematical analysis of the boundary conditions and perturbations
  • Demonstration of solutions under specified boundary conditions
  • Characterization of the behavior of the spectral fractional Laplacian
  • Identification of critical parameter values impacting the problem's solutions

Cite This Study

Colorado et al. (2026) studied this question.

synapsesocial.com/papers/6a3f68a3aea7db3c1953fabehttps://doi.org/10.1515/acv-2025-0114
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