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August 11, 2025Annals of the University of Craiova Mathematics and Computer Science Series

Infinity weak solutions for a nonlocal Fractional problem with different boundary conditions

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Authors

HEHamza El‐HouariHMH. MoussaHSHajar Sabiki

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Overview

Analysis reveals infinite solutions for nonlocal elliptic problems, highlighting diverse boundary conditions' impact.

Key Points

  • An infinite number of solutions exist for nonlocal elliptic problems under non-homogeneous Neumann boundary conditions, pushing traditional limits.
  • Variational approaches and Ekeland's variational principle are utilized to demonstrate the existence of solutions in complex settings.
  • The study examines a class of elliptic problems with mixed nonlinearity effects at Dirichlet boundary conditions, emphasizing their complexity.
  • Applications of the Fractional Orlicz-Sobolev space provide a robust framework for addressing nonlinear behaviors and variational problems.

Cite This Study

El‐Houari et al. (2025) studied this question.

synapsesocial.com/papers/68a35ef30a429f79733282abhttps://doi.org/10.52846/ami.v52i1.1902
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