Variational methods for nonpositive mixed local-nonlocal operators

HIGHLIGHTS

• who: Alberto Maione from the Abteilung fu00fcr Angewandte Mathematik, Albert-Ludwigs-Universitu00e4t Freiburg, Hermann-Herder-Strasse, Freiburg im Breisgau, Germany have published the paper: Variational methods for nonpositive mixed local-nonlocal operators, in the Journal: (JOURNAL)
• what: The authors decompose X( )=Hk u2295 Pk+1, and the authors show the existence of, u03b1u0303 > 0 such that inf uu2208S u2229Pk+1 J (u)=u03b1u0303. To verify that J satisfies the geometric condition of the Linking theorem, the authors show the existence of a radius u03c1 > such that sup uu2208u2202 Hk u2295span(u k+1 ) J (u . . .
  

   

  

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