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Multiplicity of solutions for anisotropic Dirichlet problem with variable exponent

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  • Additional Information
    • Publication Information:
      Sociedade Brasileira de Matemática, 2024.
    • Publication Date:
      2024
    • Collection:
      LCC:Mathematics
    • Abstract:
      We establish some results on the existence of multiple nontrivial solutions for a general anisotropic elliptic equations. Our approach relies on the variable exponent theory of generalized Lebesgue-Sobolev spaces, combined with adequate variational methods and a variant of the Mountain Pass lemma.
    • File Description:
      electronic resource
    • ISSN:
      0037-8712
      2175-1188
    • Relation:
      https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/67778; https://doaj.org/toc/0037-8712; https://doaj.org/toc/2175-1188
    • Accession Number:
      10.5269/bspm.67778
    • Accession Number:
      edsdoj.5144f81b4da74af186f1f389acaa547f