Nonlinear multivalued homogeneous Robin boundary p(u)-laplacian problem

Authors

  • Stanislas Ouaro Laboratoire de Mathematiques et d'Informatique (LA.M.I), UFR Sciences Exactes et Appliquees, Universite Joseph KI ZERBO, Burkina Faso
  • Noufou Sawadogo Universite de Ouahigouya, UFR. Sciences et Technologie, Departement de Mathématiques et informatique, Burkina Faso

DOI:

https://doi.org/10.56947/amcs.v24.308

Keywords:

Variable exponent p(u)-laplacian, Robin boundary condition, bounded Radon diffuse measure, maximal monotone graph, renormalized solution

Abstract

We study the following nonlinear multivalued Robin boundary p(u)− laplacian problem β(u) − diva(x, u, ∇u) ∋ f in Ω, a(x, u, ∇u).η = −|u|r(x,u)−2u on ∂Ω. The existence and uniqueness of solutions for L1-data f are established.

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Published

2024-06-23

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Section

Articles