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A Singular nonlinear problems with natural growth in the gradient

    Boussad Hamour   Affiliation

Abstract

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

Keyword : nonlinear problems, existence, singularity

How to Cite
Hamour, B. (2024). A Singular nonlinear problems with natural growth in the gradient. Mathematical Modelling and Analysis, 29(2), 367–386. https://doi.org/10.3846/mma.2024.17948
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Mar 26, 2024
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