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Convergence analysis for double phase obstacle problems with multivalued convection term
Convergence analysis for double phase obstacle problems with multivalued convection term
Zeng, Shengda; Bai, Yunru; Gasiński, Leszek; Winkert, Patrick
Inst. Mathematik
In the present paper, we introduce a family of the approximating problems corresponding to an elliptic obstacle problem with a double phase phenomena and a multivalued reaction convection term. Denoting by 𝓢 the solution set of the obstacle problem and by 𝓢n the solution sets of approximating problems, we prove the following convergence relation
∅≠w-lim sup Sn (n→∞) =s-lim sup (n→∞) Sn ⊂ S,
where w-lim supn→∞ 𝓢n and s-lim supn→∞ 𝓢n denote the weak and the strong Kuratowski upper limit of 𝓢n, respectively.
