Nonlinear Inequalities with Double Riesz Potentials

  title={Nonlinear Inequalities with Double Riesz Potentials},
  author={Marius Ghergu and Zeng Liu and Yasuhito Miyamoto and Vitaly Moroz},
  journal={Potential Analysis},
<jats:p>We investigate the nonnegative solutions to the nonlinear integral inequality <jats:italic>u</jats:italic> ≥ <jats:italic>I</jats:italic><jats:sub><jats:italic>α</jats:italic></jats:sub> ∗((<jats:italic>I</jats:italic><jats:sub><jats:italic>β</jats:italic></jats:sub> ∗ <jats:italic>u</jats:italic><jats:sup><jats:italic>p</jats:italic></jats:sup>)<jats:italic>u</jats:italic><jats:sup><jats:italic>q</jats:italic></jats:sup>) a.e. in <jats:inline-formula><jats:alternatives><jats:tex-math… 


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