Neumann problems for nonlinear elliptic equations with lower order terms

Neumann problems for nonlinear elliptic equations with lower order terms

In the present paper we prove existence results for solutions to nonlinear elliptic Neumann problems whose prototype is λ|u|p−2u−Δpu−div(c(x)|u|p−2u)+b(x)|∇u|p−2∇u=finΩ,|∇u|p−2∇u+c(x)|u|p−2u⋅n̲=0on∂Ωwhere Ω is a bounded domain of RN, N≥2, with Lipschitz boundary, 1

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Veröffentlicht in:Nonlinear analysis 2025-01, Vol.250, p.113626, Article 113626
Hauptverfasser: Betta, M.F., Guibé, O., Mercaldo, A.
Format: Artikel
Sprache:eng
Schlagworte:
Existence results
Neumann problems
Nonlinear elliptic equations
Stability result
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Zusammenfassung:In the present paper we prove existence results for solutions to nonlinear elliptic Neumann problems whose prototype is λ|u|p−2u−Δpu−div(c(x)|u|p−2u)+b(x)|∇u|p−2∇u=finΩ,|∇u|p−2∇u+c(x)|u|p−2u⋅n̲=0on∂Ωwhere Ω is a bounded domain of RN, N≥2, with Lipschitz boundary, 1
ISSN:0362-546X
DOI:10.1016/j.na.2024.113626