On a Class of Degenerate Nonlinear Elliptic Equations in Weighted Sobolev Spaces

Journal of Mathematical Study
Vol. 58 No. 3 (2025), pp. 362-379
DOI: 10.4208/jms.v58n3.25.07
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Author(s)
    Albo Carlos Cavalheiro
    Londrina State University  image/svg+xml Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, Brazil

    Department of Mathematics, State University of Londrina, Londrina 86057-970, Brazil

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1 Londrina State University
2 Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, Brazil
Abstract

In this paper we are interested in the existence of solutions for Dirichlet problem associated to the degenerate nonlinear elliptic equations

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in the setting of the weighted Sobolev spaces $W^{1,p}_ 0 (Ω,ω).$

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