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February 9, 2026Filomat0 citationsOpen Access

Existence of solutions for nonlinear degenerate elliptic equations with Lm-data and Neumann boundary condition

BBBenboubker Mohamed BadrHBHayat BenkhalouHHHassane Hjiaj

Key Points

  • The study aims to prove the existence of solutions for a particular class of nonlinear degenerate elliptic equations.
  • Analysis of a homogeneous Neumann elliptic problem
  • Application of distribution theory in proving existence
  • Utilization of anisotropic Sobolev spaces for function space framework
  • Existence of solutions in the sense of distributions is established
  • Findings pertain to bounded open domains with Lipschitz boundaries

Abstract

In this paper we consider the following homogenous Neumann elliptic problem cases -₈=₁^N Dⁱ (aᵢ (x, u, u) ) + ₈=₁^N A (|u|) Dⁱ u^pᵢ + |u|^p₀-2u = f in, \\ ₈=₁^N aᵢ (x, u, u) nᵢ = 0 on, cases where is a bounded open domain in RN (N 2) with Lipschitz boundary, we prove the existence of solutions in the sense of distributions for our elliptic problem in the anisotropic Sobolev spaces.

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Cite This Study

Badr et al. (2025) studied this question.

synapsesocial.com/papers/698979b9f0ec2af6756e79e7https://doi.org/10.2298/fil2516553b
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