On a Class of Nonlinear Elliptic Equations with General Growth in the Gradient

On a Class of Nonlinear Elliptic Equations with General Growth in the Gradient

In this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is −Δpu=β|∇u|q+c|u|p−2u+fin Ω,u=0on ∂Ω, where Ω is an open bounded subset of RN, N≥2, 1

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Veröffentlicht in:Mathematics (Basel) 2024-01, Vol.12 (3), p.409
Hauptverfasser: Betta, M. Francesca, Mercaldo, Anna, Volpicelli, Roberta
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Boundary value problems
Dirichlet problem
Elliptic functions
Equations
Estimates
existence
fixed point
Fixed points (mathematics)
Functions, Elliptic
nonlinear elliptic equations
Nonlinear theories
Schauder fixpoint theorem
uniqueness
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Zusammenfassung:In this paper, we prove an existence and uniqueness result for a class of Dirichlet boundary value problems whose model is −Δpu=β|∇u|q+c|u|p−2u+fin Ω,u=0on ∂Ω, where Ω is an open bounded subset of RN, N≥2, 1
ISSN:2227-7390
2227-7390
DOI:10.3390/math12030409