A Singular nonlinear problems with natural growth in the gradient

• Published in: Mathematical modelling and analysis Vol. 29; no. 2; pp. 367 - 386
• Main Author: Hamour, Boussad
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 26.03.2024; Taylor&Francis and VGTU
• Subjects: Analysis; Boundary conditions; Boundary value problems; Characteristic functions; existence; Mathematics; nonlinear problems; Nonlinear theories; Operator theory; singularity; Tests, problems and exercises; Algeria; existence; nonlinear problems; singularity; Nonlinear problems existence singularity. AMS Subject Classification: 35J60; 35J75; Nonlinear problems; singularity. AMS Subject Classification: 35J60

In this paper, we consider the equation  with boundary conditions where  is an open bounded subset of is a Leray-Lions operator defined on is a characteristic function, and is a Carathéodory function such thatsign Forand sufficiently small, we prove the existence of at least one solution u of this p...