Abstract
We deal with existence, uniqueness and regularity of nonnegative solutions to a Dirichlet problem for equations as \begin{equation*} -\text{div} \Big ( \frac{|\nabla u|^{p-2}\nabla u}{(1+u)^{\theta(p-1)}} \Big ) = h(u)f \quad\text{in }\Omega, \end{equation*}where$\Omega$ is an open bounded subset of $\mathbb{R}^N$ ($N\ge 2$), $p>1$, $\theta\ge 0$, $f\geq 0$ belongs to a suitable Lebesgue space and $h$ is a continuous, nonnegative function which may blow up at zero and it is bounded at infinity.
Citation
Riccardo Durastanti. Francescantonio Oliva. "The Dirichlet problem for possibly singular elliptic equations with degenerate coercivity." Adv. Differential Equations 29 (5/6) 339 - 388, May/June 2024. https://doi.org/10.57262/ade029-0506-339
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