A Singular nonlinear problems with natural growth in the gradient
DOI: https://doi.org/10.3846/mma.2024.17948Abstract
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 that
sign
For
and 
sufficiently small, we prove the existence of at least one solution u of this problem which is moreover such that the function
belongs to
for some
This solution satisfies some a priori estimates in
Keywords:
nonlinear problems, existence, singularityHow to Cite
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