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article · Boletim da Sociedade Paranaense de Matemática

Existence of weak solutions to the fractional p-Laplacian problems of Kirchhoff-type via topological degree

Abstract

In this work, we show the existence result of weak solutions for a class of Kirchhoff-type problems with Dirichlet-type boundary conditions involving p-Laplacian operator. Under some appropriate conditions, the existence of weak solutions is obtained by employing the Berkovits degree theory.

Research topics

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Differential Equations Analysis

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DOI: 10.5269/bspm.70524

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