Nonlinear elliptic problem involving natural growth term, L1-data and variable exponent

Authors

  • Ibrahime Konate Département de Mathématiques, Laboratoire de Sciences et Technologie (LaST), Université Thomas SANKARA, Burkina Faso
  • Idrissa Ibrango Département de Mathématiques, Laboratoire de Mathématiques et d'Informatique et Applications (LaMIA), Université NAZI BONI, Burkina Faso
  • Stanislas Ouaro Département de Mathématiques, Laboratoire de Mathématiques et d'Informatique (LAMI), Université Joseph KI-ZERBO, Burkina Faso

DOI:

https://doi.org/10.56947/amcs.v26.422

Keywords:

eneralized Lebesgue-Sobolev spaces, Leray-Lions operator, truncations, maximal monotone graph

Abstract

Using approximation techniques and the theory of maximal monotone operators in Banach spaces, we prove the existence of at least one solution of a wide class of multivalued nonlinear elliptic problems involving natural growth terms and general p(.)-Leray-Lions operator.

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Published

2025-01-05

Issue

Section

Mathematics