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ARTICLE

Non-local boundary inclusion problem with L1-data and constant exponent

  • DISCUSS. MATH. DIFFER. INCL. CONTROL OPTIM , 42 (2) : 151-169
Discipline : Mathématiques
Auteur(s) :
Auteur(s) tagués : OUARO Stanislas
Renseignée par : OUARO Stanislas

Résumé

In this work, we study the following elliptic problem −diva(x,∇u)+β(u)∋f in Ω, with non-local boundary conditions. We prove the existence and uniqueness of entropy solution for L1-data f.

Mots-clés

entropy solution; non-local boundary conditions; Leray-Lions operator; maximal monotone graph; constant exponent

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