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| Double-Phase Elliptic Equations with Nonlinear Sources Existence and Uniqueness of the Weak Solution |
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| KeyWord:Weak solution, uniqueness solutions, double phase operator, nonlinear elliptic equations |
| Author Name | Affiliation | | El Mehdi Hassoune | Laboratoire LITE, Facult\'{e} des Sciences, Universit\'{e} Chouaib Doukkali El Jadida, Morocco | | Ahmed Jamea | CRMEF Casablanca-Settat, S.P. El Jadida,El Jadida, Morocco | | Mohamed Laghdir | Laboratoire LITE, Facult\'{e} des Sciences, Universit\'{e} Chouaib Doukkali El Jadida, Morocco | | Adnane Kaddiri | Laboratoire LITE, Facult\'{e} des Sciences, Universit\'{e} Chouaib Doukkali El Jadida, Morocco |
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| Abstract: |
| In our work, our objective is to prove the existence and uniqueness of a weak solution to a class of nonlinear degenerate elliptic $(p,q)$-Laplacian problem with Dirichlet-type boundary condition by giving $L^{\infty}$ data. The principal technique utilized here is the variational method alongside the theory of Orlicz spaces and Minty-Browder theorem. |
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