A singular elliptic equation and a related functional
نویسندگان
چکیده
We study a class of Dirichlet boundary value problems whose prototype is [see formula in PDF] where 0 < p 1 and f belongs to suitable Lebesgue space. The main features this problem are the presence singular term | u ?2 datum which possibly changes its sign. introduce notion solution setting we prove an existence result for such solution. motivation our above due minimization non–differentiable functional on formal Euler–Lagrange equation that type. For nonnegative solutions uniqueness obtained.
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ژورنال
عنوان ژورنال: ESAIM: Control, Optimisation and Calculus of Variations
سال: 2021
ISSN: ['1262-3377', '1292-8119']
DOI: https://doi.org/10.1051/cocv/2021037