Strongly singular convective elliptic equations in $ \mathbb{R}^N $ driven by a non-homogeneous operator
Laura Gambera, Umberto Guarnotta · Communications on Pure & Applied Analysis · 2022
Existence of a generalized solution to a strongly singular convective elliptic equation in the whole space is established. The differential operator, patterned after the \begin{document}$ (p,q) $\end{document} -Laplacian, can be non-homogeneous. The result is obtained by solving some regularized problems through fixed point theory, variational methods and compactness results, besides exploiting nonlinear regularity theory and comparison principles.