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Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth

  • Giovany M. Figueiredo (a1), Mateus Balbino Guimarães (a2) and Rodrigo da Silva Rodrigues (a2)

Abstract

In this paper we study the multiplicity of non-trivial solutions to a class of nonlinear boundary-value problems of Kirchhoff type. We prove existence results when the problem has nonlinearities with subcritical and with critical Caffarelli–Kohn–Nirenberg exponent.

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Solutions for a Kirchhoff Equation with Weight and Nonlinearity with Subcritical and Critical Caffarelli–Kohn–Nirenberg Growth

  • Giovany M. Figueiredo (a1), Mateus Balbino Guimarães (a2) and Rodrigo da Silva Rodrigues (a2)

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