A Singular nonlinear problems with natural growth in the gradient

Abstract

In this paper, we consider the equation Capture26.JPG 17948.JPGwith boundary conditions Capture_38.JPG where Capture_45.JPG is an open bounded subset of Capture_54.JPGis a Leray-Lions operator defined on is a characteristic function,Capture_81.JPG and Capture_91.JPGis a Carathéodory function such thatCapture_10.JPGsignCapture_111.JPG ForCapture_121.JPGand Capture_131.JPGsufficiently small, we prove the existence of at least one solution u of this problem which is moreover such that the functionCapture_14.JPG belongs toCapture_15.JPGfor someCapture_16.JPG This solution satisfies some a priori estimates inCapture_17.JPG

Keywords:

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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March 26, 2024
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References

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2024-03-26

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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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