A Singular nonlinear problems with natural growth in the gradient

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...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 29; no. 2; pp. 367 - 386
Main Author Hamour, Boussad
Format Journal Article
LanguageEnglish
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
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Summary: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 problem which is moreover such that the function belongs tofor some This solution satisfies some a priori estimates in
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ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2024.17948