Convergence analysis for double phase obstacle problems with multivalued convection term

Abstract

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

Keywords

• double phase problem
• multivalued convection term
• kuratowski upper limit
• tychonov fixed point principle
• obstacle problem
• 35j20
• 35j25
• 35j60